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ff Find the variable x.[Given a = 2x° and b = 3x°.] ff

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ff PQRS is a parallelogram. What is the measure of ∠2? [Given x = 57.] ff

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ff What is the value of x and y in the figure? [Given a = 4 and b = 9.] ff

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ff Find the value of the variables x and y. [Given a = 5, b = 20, c = 9 and d = 3.] ff

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ff Find the value of the variables p and q.[Given x = 5q  15.] ff

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ff Find the variables P, Q and R. [Given a = 13, b = 23, and x = 75.] ff

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ff Find the m∠ D of the parallelogram ABCD. [Given x = 106.] ff

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ff The measure of one angle of a parallelogram is 70. The measures of other three angles are ff

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ff ABCD is a parallelogram in which ∠DAE = 40°, ∠DCE = 40°, ∠CED = 57° then ∠ABE = ?. ff

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ff Find the value of each variable in the parallelogram shown. [Given a = 81, b = 9, c = 4, d = 2, and x = 8.] ff

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ff Find the value of x if PQRS is a parallelogram. [Given (ax + b)^{o} = (5x + 2)^{o}, c = 7 and y = 34.] ff

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ff Find the variables a and x. [Given m = 7, a = 3, c = 8, b = 5 and d = 40.] ff

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ff Two adjacent angles of a parallelogram are in the ratio 4 : 3. Find the measures of all angles. ff

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ff Find the values of a, p and q. [Given x = 26.] ff

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ff The sum of two opposite angles of a parallelogram is 136°. Find the measures of all the angles of the parallelogram. ff

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ff In the parallelogram, m = 75, n = 105, a = 3, c = 2 and b = 15. Find the value of x. ff

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ff ABCD is a parallelogram. ∠CBF and ∠EBF are in the ratio 5 : 4. Find m∠ADC.[Given x = 120.] ff

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ff The perimeter of parallelogram WXYZ is 50 cm and WX is 11 cm. Find the length of the other sides. ff

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ff 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. ff

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ff 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. ff

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ff PQRS is a parallelogram, ∠SPQ = x° and ∠SQR = y°. Calculate ∠RSQ. [Given x = 75 and y = 47.] ff

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ff Two adjacent angles of a parallelogram are in the ratio 3 : 2. Find the measures of all angles. ff

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ff PQRS is a parallelogram. What is the measure of ∠2? [Given x = 54.] ff

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ff What is the value of x and y in the figure? [Given a = 3 and b = 6.] ff

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ff The measure of one angle of a parallelogram is 60. The measures of other three angles are ff

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ff Two adjacent angles of a parallelogram are in the ratio 5 : 4. Find the measures of all angles. ff

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ff Find the value of x from the given parallelogram. ff

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ff 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. ff

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ff Choose the quadrilaterals whose diagonals intersect at right angles. 1. Square 2. Rectangle 3. Kite 4. Rhombus ff

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ff In the parallelogram ABCD, AC = 18 cm, PQ = 4 cm. Find the measure of AQ. ff

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ff Which of the following statement is not correct? ff

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ff ABCD is a parallelogram in which ∠DAE = 40°, ∠DCE = 36°, ∠CED = 63° then ∠ABE = ?. ff

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ff The sum of two opposite angles of a parallelogram is 144°. Find the measures of all the angles of the parallelogram. ff

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ff The perimeter of parallelogram WXYZ is 44 cm and WX is 10 cm. Find the length of the other sides. ff

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ff 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. ff

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ff 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. ff

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ff 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. ff

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ff Find the value of each variable in the parallelogram shown. [Given a = 77, b = 11, c = 6, d = 3, and x = 12.] ff

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ff Find the values of x, y for the parallelogram shown. ff

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ff Find the values of P and Q in the parallelogram. ff

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ff Find the measures of the angles of the parallelogram. ff

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ff Find the variables a and x. [Given m = 5, a = 4, c = 6, b = 4 and d = 10.] ff

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ff Find the values of a, p and q. [Given x = 16.] ff

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ff In the parallelogram, m = 80, n = 100, a = 3, c = 4 and b = 7. Find the value of x. ff

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ff Find the values of p and q for the rectangle shown. ff

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ff Find the value of x of the parallelogram shown. ff

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ff Find the positive values of a, b, c for the given square. ff

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ff Find the value of x for the parallelogram shown. ff

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ff 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. ff

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ff Find the value of the variables x and y. [Given a = 9, b = 40, c = 10 and d = 3.] ff

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ff Find the value of the variables p and q.[Given x = 7q  10.] ff

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ff Find the m∠ D of the parallelogram ABCD. [Given x = 109.] ff

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ff Find the variables P, Q and R. [Given a = 19, b = 29, and x = 81.] ff

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ff Find the value of m and n in the figure shown. ff

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ff 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 ff

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ff Find the value of x if PQRS is a parallelogram. [Given (ax + b)^{o} = (4x + 6)^{o}, c = 6 and y = 32.] ff

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ff In the parallelogram ABCD, BF¯ bisects ∠CBE and is parallel to AC¯. Select the possibilities. 1. AB = BC 2. m∠ABO = m∠CBO 3. AC¯ ⊥ BD¯ ff

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ff ABCD is a parallelogram. ∠CBF and ∠EBF are in the ratio 3 : 2. Find m∠ADC.[Given x = 120.] ff

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ff PQRS is a parallelogram, ∠SPQ = x° and ∠SQR = y°. Calculate ∠RSQ. [Given x = 75 and y = 48.] ff

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ff 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. ff

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