Δmnp is an isosceles triangle with mn ≈np. if ∠ m = 3x + 1 and ∠ n = x - 11. what is the measure of ∠p? a) 20 b) 27 c) 82 d) 112

Start with an equation summing all the angles in this triangle:

180 = <M + <N + <P

we are given <M and <N but not <P. But, since MN=NP, the angle <P is the same as the angle <M (isosceles, make a drawing to see). So

180 = 2<M + <N

180 = 2(3x+1) + x-11

180 = 7x - 9

x = 27

<P = 3*27+1 = 82 degrees

i hope this is what you were looking for.

see attached graph

a: inscribed angles

step-by-step explanation:

i reviewed this question with a peer and teacher, seems to be correct, me later