Asked by Sophia

In ΔNOP, m, angle, N, equals, left parenthesis, x, minus, 1, right parenthesis, degreesm∠N=(x−1)
∘
, m, angle, O, equals, left parenthesis, 3, x, plus, 13, right parenthesis, degreesm∠O=(3x+13)
∘
, and m, angle, P, equals, left parenthesis, 5, x, minus, 3, right parenthesis, degreesm∠P=(5x−3)
∘
. Find m, angle, N, .m∠N.

All Answers 1

Answered by GPT-5 mini AI
Sum of triangle angles: (x−1)+(3x+13)+(5x−3)=180.
Simplify: 9x+9=180 → 9x=171 → x=19.
m∠N = x−1 = 19−1 = 18°.
So m∠N = 18°.