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?

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°

add -60 to 120 which will result in : 2x+3y=180

then subtract 2x: 3y=-2x+180

lastly, divide by 2: y= -2/3x+60

hope this is the answer you're looking for: )