Question

In the figure find all the angle of the parallelogram ABCD if measure of angle A: measure of Angle B=1:4

Answer 1

Answer:

Given <A : <B = 1 : 4

Let <A = 1x

<B = 4x

<A + <B = 180 (Since, In parallelogram consecutive angles are supplementary )

1x + 4x = 180

5x = 180

x = 180÷5

x = 36

Hence, <A = 1x = 1 × 36 =36

<B = 4x = 4 × 36 = 144

<C = <A = 36 ( Since, In parallelogram opposite angles are congruent)

<D = <B = 144 ( Since , In parallelogram opposite angles are congruent )