Question

1) What is the value of u? A) 32° B) 34 C) 36° D) 68°

Answer 1

Triangle XYZ is an isosceles triangle, then ∠Z and ∠X (also called u) measure the same.

The addition of the internal angles of a triangle is equal to 180°:

∠X + ∠Y + ∠Z = 180°

Replacing with ∠X = ∠Z = u, and ∠Y = 112°:

u + 112° + u = 180°

2u + 112° = 180°

2u = 180° - 112°

2u = 68°

u = 68°/2

u = 34°