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sveticcg [70]
3 years ago
9

PLEASE HELP! find the value of a in the parallelogram

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
6 0

Answer:

a=19

Step-by-step 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

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