Question

I need to know which is the right answer out of the 4 answer choices there

Answer 1

30°

Explanation:

A dilatation does not change the size of the angles in the triangles only the length of the sides.

ΔABC and ΔXYZ are therefore similar and corresponding angles are congruent, hence

∠X = ∠A = 50°

∠Y = ∠B = 100°

The sum of the 3 angles in the triangle = 180°, thus

∠Z = 180° - (50 + 100)° = 180° - 150° = 30°