Find x and the neausre of each angle

Question

In MNP, if m<M=4x-3,m<N=9x-6, and m<p=6x-1, fi d x and measure of each angle

Answer 1

Assuming that the angles are interior angles of a triangle, we have (4x-3) + (9x-6) + (6x-1) = 180°.

So, 19x -10 = 180

19x = 190

x = 10

∠M = 4x - 3 = 37°

∠N = 9x - 6 = 84°

∠P = 6x - 1 = 59°