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Solved Examples
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D   Find the variable x.[Given a = 2x° and b = 3x°.]   D View Solution
D   PQRS is a parallelogram. What is the measure of 2? [Given x = 57.]   D View Solution
D   What is the value of x and y in the figure?
[Given a = 4 and b = 9.]   D
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D   Find the value of the variables x and y. [Given a = 5, b = 20, c = 9 and d = 3.]   D View Solution
D   Find the value of the variables p and q.[Given x = 5q - 15.]   D View Solution
D   Find the variables P, Q and R. [Given a = 13, b = 23, and x = 75.]
   D
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D   Find the m D of the parallelogram ABCD.
[Given x = 106.]   D
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D   The measure of one angle of a parallelogram is 70. The measures of other three angles are   D View Solution
D   ABCD is a parallelogram in which DAE = 40°, DCE = 40°, CED = 57° then ABE = ?.   D View Solution
D   Find the value of each variable in the parallelogram shown. [Given a = 81, b = 9, c = 4, d = 2, and x = 8.]
   D
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D   Find the value of x if PQRS is a parallelogram. [Given (ax + b)o = (5x + 2)o, c = 7 and y = 34.]   D View Solution
D   Find the variables a and x. [Given m = 7, a = 3, c = 8, b = 5 and d = 40.]
   D
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D   Two adjacent angles of a parallelogram are in the ratio 4 : 3. Find the measures of all angles.   D View Solution
D   The sum of two opposite angles of a parallelogram is 136°. Find the measures of all the angles of the parallelogram.
   D
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D   Find the values of a, p and q. [Given x = 26.]
   D
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D   ABCD is a parallelogram. CBF and EBF are in the ratio 5 : 4. Find mADC.[Given x = 120.]
   D
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D   In the parallelogram, m = 75, n = 105, a = 3, c = 2 and b = 15. Find the value of x.
   D
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D   The perimeter of parallelogram WXYZ is 50 cm and WX is 11 cm. Find the length of the other sides.   D View Solution
D   If mBCD = 118, then find mCBE.
   D
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D   The perimeter of a parallelogram is 110 cm. If one of the sides is greater than the other by 5 cm, then find the length of the sides of the parallelogram in cm.   D View Solution
D   The ratio of two sides of a parallelogram is 2 : 3. If its perimeter is 50 cm, then find the lengths of the sides of the parallelogram.
   D
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D   PQRS is a parallelogram, SPQ = x° and SQR = y°. Calculate RSQ. [Given x = 75 and y = 47.]
   D
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D   Two adjacent angles of a parallelogram are in the ratio 3 : 2. Find the measures of all angles.   D View Solution
D   PQRS is a parallelogram. What is the measure of 2? [Given x = 54.]   D View Solution
D   What is the value of x and y in the figure?
[Given a = 3 and b = 6.]   D
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D   The measure of one angle of a parallelogram is 60. The measures of other three angles are   D View Solution
D   Two adjacent angles of a parallelogram are in the ratio 5 : 4. Find the measures of all angles.   D View Solution
D   Find the value of x from the given parallelogram.   D View Solution
D   Find the value of x in the parallelogram.   D View Solution
D   The ratio of two sides of a parallelogram is 2 : 3. If its perimeter is 70 cm, then find the lengths of the sides of the parallelogram.
   D
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D   Choose the quadrilaterals whose diagonals intersect at right angles.
1. Square
2. Rectangle
3. Kite
4. Rhombus
   D
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D   Find the values of x, y for the parallelogram shown.
   D
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D   In the parallelogram ABCD, AC = 18 cm, PQ = 4 cm. Find the measure of AQ.
   D
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D   Which of the following statements is true?
   D
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D   Which of the following statement is not correct?
   D
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D   ABCD is a parallelogram in which DAE = 40°, DCE = 36°, CED = 63° then ABE = ?.   D View Solution
D   The sum of two opposite angles of a parallelogram is 144°. Find the measures of all the angles of the parallelogram.
   D
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D   The perimeter of parallelogram WXYZ is 44 cm and WX is 10 cm. Find the length of the other sides.   D View Solution
D   Find the values of P and Q in the parallelogram.   D View Solution
D   The perimeter of a parallelogram is 120 cm. If one of the sides is greater than the other by 5 cm, then find the length of the sides of the parallelogram in cm.   D View Solution
D   Find the value of x.
   D
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D   Find the measures of the angles of the parallelogram.   D View Solution
D   Select the correct statements.
I. Diagonals of a parallelogram bisect the opposite angles.
II. Diagonals of a parallelogram divide it into four congruent triangles.
III. Opposite sides of a parallelogram are congruent and parallel.
   D
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D   Select the correct statement .
1. Both the diagonals of a rectangle, a square and a rhombus are equal.
2. One of the diagonals of a kite is perpendicular bisector of the other.
3. Diagonals of a rectangle are perpendicular to each other.
   D
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D   Which of the following is / are correct with respect to a parallelogram?
I. Diagonals bisect each other.
II. Adjacent angles are supplementary.
III. Opposite sides are congruent and parallel.   D
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D   Find the value of the variables x and y. [Given a = 9, b = 40, c = 10 and d = 3.]   D View Solution
D   Find the value of each variable in the parallelogram shown. [Given a = 77, b = 11, c = 6, d = 3, and x = 12.]
   D
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D   Find the value of the variables p and q.[Given x = 7q - 10.]   D View Solution
D   Find the variables a and x. [Given m = 5, a = 4, c = 6, b = 4 and d = 10.]
   D
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D   Find the m D of the parallelogram ABCD.
[Given x = 109.]   D
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D   Find the values of a, p and q. [Given x = 16.]
   D
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D   What are the values of r and z?   D View Solution
D   Find the variables P, Q and R. [Given a = 19, b = 29, and x = 81.]
   D
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D   In the parallelogram, m = 80, n = 100, a = 3, c = 4 and b = 7. Find the value of x.
   D
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D   Find the value of m and n in the figure shown.   D View Solution
D   If mBCD = 104, then find mCBE.
   D
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D   Find the variables x and y.   D View Solution
D   M and N are the mid points of the sides AB and AD of the parallelogram ABCD. PN parallel to AB and PM parallel to AD. Select the correct statement / statements.
1. P is the point of intersection of the diagonals
2. Perimeter of AMPN is 14of the perimeter of ABCD
3. AM · ND = AN · MB   D
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D   Find the value of x if PQRS is a parallelogram. [Given (ax + b)o = (4x + 6)o, c = 6 and y = 32.]   D View Solution
D   In the parallelogram ABCD, BF¯ bisects CBE and is parallel to AC¯. Select the possibilities.
1. AB = BC
2. mABO = mCBO
3. AC¯ BD¯
   D
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D   ABCD is a parallelogram. CBF and EBF are in the ratio 3 : 2. Find mADC.[Given x = 120.]
   D
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D   PQRS is a parallelogram, SPQ = x° and SQR = y°. Calculate RSQ. [Given x = 75 and y = 48.]
   D
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D   Find the values of p and q for the rectangle shown.   D View Solution
D   Find the value of x of the parallelogram shown.
   D
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D   Find the positive values of a, b, c for the given square.
   D
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D   Find the value of x in the parallelogram.   D View Solution
D   Find the value of x for the parallelogram shown.
   D
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D   Find the perimeter of ΔAOE, if E, F are the midpoints of AB and CD respectively of parallelogram ABCD and AB = 20, AC = 28, EF = 16.
   D
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