PQRS is a parallelogram. m∠Q = 11x + 13 and m∠S = 15x - 23. Find the measure of ∠P.

amanf 2021-01-08 Answered
PQRS is a parallelogram. mQ=11x+13 and mS=15x23. Find the measure of P.
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Cristiano Sears
Answered 2021-01-09 Author has 96 answers

A parallelogram has opposite angles that are congruent so:
QS
mQ=mS
11x+13=15x23
11x=15x36
4x=36
x=9
So, mQ=11(9)+13=112°.
A parallelogram has consecutive angles that are supplementary:
mP+mQ=180°
mP+112°=180°
mP=68°

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Jeffrey Jordon
Answered 2021-08-10 Author has 2495 answers

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