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.
2 answers:
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
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°
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