Question

if the ratio of angle B: Angle C of a parallelogram ABCD is 2:3 ,then find measure of all it's angles​

Answer 1

Step-by-step explanation:

In parallelogram ABCD, <A = <C & <D = <B

because, opposite sides are equal in parallelogram

Let the ratio be 2x,3x

<B + <C = 180 ( co-interior angles )

2x + 3x = 180

5x = 180

x = 180/5

x = 36

3x = 3× 36 =108 & 2x = 2× 36 =72

So, <A = 108

<B = 72

<C = 108

<D = 72