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| D The interior angle of a regular polygon is 120o. Find the number of sides of the polygon. D |
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D ABCD is a parallelogram and x = 63°. Find ∠ABC.
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D In the circle shown, ∠ABC is
[Given d = 75, c = 90.]
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D Measure of each interior angle of a regular hexagon is
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D Find the sum of the interior angles of hexagon.
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D In the quadrilateral ABCD, a = 35°, b = 89° and c = 100°. Find the value of y.
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| D The exterior angle of a regular polygon is 36o. Find the number of sides of the polygon. D |
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| D R is the In-center of triangle ABC. ∠ARD is [ Given x = 41, y = 78.] D |
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| D The angles of a quadrilateral are in the given order. The quadrilateral is a [a = 42, b = 138, c = 42 and d = 138.] D |
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D Find the value of y in the figure shown. [Given a = 125, b = 80 and x = 75.]
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D The angles of a quadrilateral are a = 124o, b = 144o, c = 56o, and d = 36o (in that order). Then the quadrilateral is a [Given x = 560 and y = 360.]
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D O is the orthocentre of the triangle ABC. Find ∠ OAB.
[Given x = 730 and y = 660.]
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| D In the figure shown, a = 120, b = 80 and c = 110. Find the value of x. D |
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D Find the value of x in the heptagon shown, if a = 130, b = 125, c = 124, and d = 130.
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D What is the sum of the measures of the interior angles of a 18 - gon?
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D The sum of the measures of the interior angles of a polygon is 1620°. Find the number of sides of the polygon.
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| D Find the value of x in the octagon if a1 = 134, a2 = 135, a3 = 132, a4 = 134, a5 = 133, a6 = 137 and a7 = 135. D |
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| D The measure of an exterior angle of a regular polygon is 30. Find the number of sides of a polygon. D |
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D In the figure, a = 104, b = 103 and c = 96. Find the values of x and y .
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D What is the measure of each exterior angle in a regular polygon of 12 sides?
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D The number of diagonals in a regular polygon is 44. Its exterior angle is
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D The sides of a regular hexagon are extended to form 6 congruent triangles. If the length of the side of the hexagon is 11 cm, what is the perimeter of the new figure formed?
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| D ABCD is a square of side length 16 cm. P, Q, R and S are the midpoints of sides AB¯, BC¯, CD¯, and DA¯. What is the length of all the diagonals of the hexagon APQCRS? D |
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D The sides of a regular hexagon are extended to form 6 congruent triangles. If the length of one side of the hexagon is 9 cm, then find the total area of the figure in sq.cm.
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| D In the quadrilateral ABCD, O is the point of intersection of the diagonals AC¯ and BD¯. What is the area of Δ AOB if the area of ΔBOC = 27 sq.units, of Δ COD = 15 sq.units and of Δ AOD = 5 sq.units? D |
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D Find the measure of each exterior angle of a regular octagon.
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D Measure of each interior angle of a regular octagon is
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f Find the sum of the interior angles of pentagon.
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f In the circle shown, ∠ABC is
[Given d = 65, c = 80.]
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f PQRST is a regular polygon inscribed in a circle whose center is at O. ∠POQ is
f |
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| f Sum of all the interior angles of a polygon having n sides is f |
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f In the quadrilateral ABCD, a = 35°, b = 89° and c = 98°. Find the value of y.
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| f R is the In-center of triangle ABC. ∠ARD is [ Given x = 41, y = 79.] f |
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| f The angles of a quadrilateral are in the given order. The quadrilateral is a [a = 47, b = 133, c = 47 and d = 133.] f |
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f The angles of a quadrilateral are a = 122o, b = 142o, c = 58o, and d = 38o (in that order). Then the quadrilateral is a [Given x = 580 and y = 380.]
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f O is the orthocentre of the triangle ABC. Find ∠ OAB.
[Given x = 730 and y = 650.]
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| f The interior angles of a pentagon are consecutive even numbers. Find the sum of the least and the greatest angles. f |
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f The number of diagonals in a regular polygon is 5. Its exterior angle is
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| f Minimum number of interior angles in a polygon is f |
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| f As the number of sides of a regular polygon increases, the interior angle approaches to f |
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f What is the interior angle of a regular polygon of least number of sides?
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| f If x = 38, find ∠SPR in the parallelogram PQRS. f |
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| f If x = 34, find ∠SPR in the parallelogram PQRS. f |
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f ABCD is a parallelogram and x = 65°. Find ∠ABC.
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| f ABCDEF is a regular hexagon inscribed in a circle with center O. ∠ACB = ? f |
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| f In which figure the sum of interior angles is more? f |
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f Sum of an interior angle and an exterior angle at a vertex of a polygon is equal to
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| f What is the sum of measures of the interior angles of a n-gon? f |
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f In a polygon, if a diagonal has no points outside it, then name that polygon.
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| f In a polygon a diagonal has points outside it. Name the polygon. f |
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| f What is the sum of measures of the exterior angles of a polygon? f |
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| f What is the measure of an interior angle of a regular hexagon? f |
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| f Find the sum of the measures of the angles A, B, C, D and E in the figure. f |
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| f What is the measure of an exterior angle of a regular heptagon? f |
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| f Find the measure of interior angle of a regular pentagon. f |
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f Find the value of y in the figure shown. [Given a = 130, b = 80 and x = 80.]
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| f In the figure shown, a = 115, b = 84 and c = 105. Find the value of x. f |
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f Find the value of x in the heptagon shown, if a = 130, b = 125, c = 124, and d = 135.
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f What is the sum of the measures of the interior angles of a 13 - gon?
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| f The sides of a regular octagon are extended to form 8 congruent triangles. What is the best description of these triangles? f |
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f The sides of a regular hexagon are extended to form 6 congruent triangles. If the length of the side of the hexagon is 6 cm, what is the perimeter of the new figure formed?
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f The sum of the measures of the interior angles of a polygon is 540°. Find the number of sides of the polygon.
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f All the sides of a regular pentagon is extended to form 5 congruent triangles. What is the best description of these triangles?
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| f Find the value of x in the octagon if a1 = 135, a2 = 134, a3 = 134, a4 = 132, a5 = 132, a6 = 137 and a7 = 135. f |
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| f The measure of an exterior angle of a regular polygon is 90. Find the number of sides of a polygon. f |
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f In the figure, a = 99, b = 103 and c = 95. Find the values of x and y .
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f What is the measure of each exterior angle in a regular polygon of 24 sides?
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f Find the measure of each exterior angle of a regular nanogon.
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| f A diagonal of a polygon is a segment that connects any two f |
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| f ABCD is a square of side length 14 cm. P, Q, R and S are the midpoints of sides AB¯, BC¯, CD¯, and DA¯. What is the length of all the diagonals of the hexagon APQCRS? f |
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f Which of the following is correct in the case of a polygon?
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f The sides of a regular hexagon are extended to form 6 congruent triangles. If the length of one side of the hexagon is 8 cm, then find the total area of the figure in sq.cm.
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| f In the quadrilateral ABCD, O is the point of intersection of the diagonals AC¯ and BD¯. What is the area of Δ AOB if the area of ΔBOC = 28 sq.units, of Δ COD = 28 sq.units and of Δ AOD = 7 sq.units? f |
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f The regular polygons have a common side AB. Find the ratio of m∠CAD to
m∠EAF.
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| f The number of diagonals in a regular polygon is 14. Its exterior angle is f |
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f AP bisects ∠A of the regular pentagon. Find the measure of ∠APC.
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f ABC, ABDEFG and ABPQRSTU are equilateral triangle, regular hexagon and regular octagon respectively. Find m∠UAC, m∠UAG.
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| f If m ∠APC = 90, find m∠BAP of the regular pentagon. f |
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