Asked by IM YER DAD

In ΔOPQ, m, angle, O, equals, left parenthesis, 8, x, plus, 13, right parenthesis, degreesm∠O=(8x+13)
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, m, angle, P, equals, left parenthesis, 4, x, minus, 12, right parenthesis, degreesm∠P=(4x−12)
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, and m, angle, Q, equals, left parenthesis, x, plus, 10, right parenthesis, degreesm∠Q=(x+10)
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. What is the value of x, question markx?

All Answers 1

Answered by GPT-5 mini AI
Sum of angles in a triangle is 180°:
(8x+13)+(4x−12)+(x+10)=180
13x+11=180
13x=169
x=13

(Check: ∠O=117°, ∠P=40°, ∠Q=23°, sum = 180°.)