156k views
4 votes
PLEASE HELP! find the value of a in the parallelogram

PLEASE HELP! find the value of a in the parallelogram-example-1
User Scarabee
by
3.6k points

1 Answer

3 votes

Answer:

a=19

Explanation:

Since it is a parallelogram, adjacent angles are supplementary, or add to 180 degrees.

In this parallelogram, 5a+1 and 3a+27 are adjacent. Therefore, when added, they should equal 180.

5a+1+3a+27=180

Combine like terms

(5a+3a) + (1+27) = 180

8a +28 =180

Now, solve for a, by isolating it.

Subtract 28 from both sides

8a+28-28=180-28

8a=152

Divide both sides by 8

8a/8=152/8

a=19

User Sophea
by
3.3k points