Question

Find the measures of angle R and angle N. Given:Triangle RST is congruent to triangle NPQ, the measure of angle R = -7x + 9, and the measure of angle N = -10x

Answer 1

Given:Triangle RST is congruent to triangle NPQ.

This means that <R ≅ <N because correspoinding angles of congruent triangles are congruent.

So, -7x + 9 = -10x
9 = -3x
-3 = x

m<R = -7*(-3) + 9 = ?
m<N = -10*(-3) = ?

@Anonymous120
Note that the work and answers posted by @calculusxy are incorrect.
In Euclidean Geometry, angle measures are never negative.