Question

6. Two consecutive angles A and B of a parallelogram ABCD are in the ratio 3:2, find its angles.
. In a parallelogram, the sum of two of its equal angles is 130°. Find the angles of the parallelogram.
angles of a quadrilateral are (xº +50°), (
2
quadrilateral is it?
25°​

Answer 1

et the common ratio be x

3x , 2x

Angle A = Angel C [ opposite angels of parallelogram are equal]

Similarly,

Angle B = Angel D

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Now ,

Angle A + Angle B + Angle C + Angle D = 360° [ Angel Sum Property of Quadrilateral]

=> 3x + 2x + 3x + 2x = 360°

=> 6x + 4x = 360°

=> 10x = 360°

=> x= 36°

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Angle A = 3x = 3× 36 = 10

Angle B = 2x = 2× 36 = 72°

Angle C = 3x = 3× 36 = 108°

Angle D = 2x = 2× 36 = 72°