Question

Find each angle of a parallelogram if two consecutive angles are in the ratio 2:7.

Answer 1

Answer:

hope it helps you boy / girl

Answer 2

Answer:

Let ABCD be the parallelogram

According to given ratio 2:7

The angle(A)= 2x and angle(B)= 7x

We know,

The sum of consecutive angles of parallelogram

= 180 degree

A + B = 180

So, 2x + 7x = 180

=> 9x = 180

=> x = 180/9

=> x = 20

angle(A) = 2x = 20 X 2 = 40 degree

angle(B) = 7x = 20 X 7 = 140 degree

In parallelogram ABCD

Angle(A) = angle(C) = 40 degree ( opposite angles of a parallelogram are equal)

angle(B) = angle(D) = 140 degree ( opposite angles of a parallelogram are equal)