Question

In isosceles triangle AXYZ, XY = YZ. Which statement must be true?

mZX=mZZ
OmZX=mZY
O mzZ=mZY

Answer 1

m<X=m<Z

Explanation:

In an isosceles triangle, 2 sides are congruent, and the opposite angles of those sides are congruent.

The angle opposite side XY is <Z.

The angle opposite side YZ is <X.

Since sides XY and YZ are congruent, then angles Z and X are congruent.

Answer: m<X=m<Z