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In APQR, m/P = (x + 13)°, m/Q = (10x + 13)°, and m/R = (2x − 2)°. Find m/Q.

In APQR, m/P = (x + 13)°, m/Q = (10x + 13)°, and m/R = (2x − 2)°. Find m/Q.
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4 votes
In APQR, m/P = (x + 13)°, m/Q = (10x + 13)°, and
m/R = (2x − 2)°. Find m/Q.

User Benjamin Dobell
by
8.8k points

1 Answer

4 votes

Answer:


133^(\circ)

Explanation:

Angles in a triangle add to
180^(\circ).


x+13+10x+13+2x-2=180 \\ \\ 13x+24=180 \\ \\ 13x=156 \\ \\ x=12 \\ \\ m\angle Q=10(12)+13=133^(\circ)

User Dunderklumpen
by
7.4k points
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