Question

an isosceles triangle is shown. which two angles must be congruent?
a ∠v = ∠w
b ∠v = ∠x
c ∠w = ∠x
d cannot be determined

Explanation:

Step1: Recall the property of an isosceles triangle

In an isosceles triangle, the angles opposite the equal sides are congruent.

Step2: Analyze the given options

Since it is an isosceles triangle, the two base angles (the angles opposite the equal sides) are congruent. In a triangle, if we assume the sides opposite \(\angle W\) and \(\angle X\) are equal (by the definition of an isosceles triangle), then \(\angle W=\angle X\).

Answer:

C. \(\angle W = \angle X\)