Question

△ABC is an isosceles triangle. If, △ABC and △XYZ are similar triangles, find the value of ∠XZY.

• A. ${40}^{\circ }$
• B. ${60}^{\circ }$
• C. ${80}^{\circ }$
• D. ${70}^{\circ }$

Answer 1

The correct option is D ${70}^{\circ }$


Two triangles are said to be similar if they have the same angles and side lengths.

From the above triangles, we see:

AC = AB = XY = XZ (isosceles triangle)

∠ABC = ∠ACB = ∠XYZ = ∠XZY = 70°

So, ∠XZY = 70°