Question

I can’t figure out how to solve this for a. I’ve tried multiple ways but still have not come up with an answer.

Answer 1

Answer:

a = 33

Step-by-step explanation:

IN a parallelogram consecutive angles are supplementary, thus

5a - 52 + 5a - 98 = 180, that is

10a - 150 = 180 ( add 150 to both sides )

10a = 330 ( divide both sides by 10 )

a = 33

Answer 2

It's a parallelogram so the each side is a transverse across two opposite parallel sides, so make the usual congruent and supplementary angles.

Here we have T and U must be supplementary angles because they're consecutive interior, if I remember the term.

T + U = 180°

5a - 98° + 5a - 52° = 180°

10a = 180° +  98° + 52° = 330°

a = 33°

Answer: 33°