Question

in the diagram of parallelogram ABCD shown below the measure of angle A is five times the measure of angle D what is the measure of angle A?

Answer 1

A = 150°

Explanation:

In the parallelogram ABCD, A and D are adjacent angles.

We know that in a parallelogram, adjacent angles are supplementary.

Therefore,

A + D = 180° --- (1)

But, it is given that angle A is 5 times angle D.

So, A = 5D

Substitute in (1), we get,

5D + D = 180

6D = 180

D = 30

A = 5D

= 5(30)

= 150

Hence, A = 150°