Question

in the triangles shown, abc is dilated by factor of 2/3 to form xyz. given that angle a is 50 degrees and angle b is 100, what is angle z?

Answer 1

we know that

in the triangle ABC
∡A+∡B+∡C=180°
∡C=180-(50+100)-------> ∡C=30°

triangle ABC and triangle XYZ are similar
so
∡X=∡A
∡Y=∡B
∡Z=∡C
hence
∡Z=30°

the answer is
∡Z=30°