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

Question

3 years ago

13

of angle A?

1 answer:

oksian1 [2.3K] · Answer 1 · 2021-12-12T03:22:09+03:00

Answer:

A = 150°

Step-by-step 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°