Question

Suppose triangle Δ VLQ ~ Δ PSX. If m∠ V = 48 and m∠ L = 80, what is the m∠ X?

Answer 1

The answer is 52

The sum of triangle angles is 180.

For triangle VLQ, we know two angles.

48+80+Q =180

128+Q=180

Q=52

Since the triangles are similar, angle Q is congruent to angle X.