Answer: m∠WVU = 60°
Step-by-step explanation:
We are given a triangle and are asked to find an angle measurement, m∠WVU. Since UV and VW each have a dash through them, we know that these two sides are congruent. This means that we are given an iscloses triangle.
An iscolses triangle has two congruent sides and two congruent angles adjacent to the base. Using this information, m∠U and m∠W are congruent.
m∠U ≅ m∠W = 60°
Lastly, a triangle's interior angles add up to 180 degrees. Using this information, we can find m∠V, aka m∠WVU, because we know the other two angle measurements.
m∠WVU = 180° - 60° - 60° = 60°
Since this triangle has three 60-degree angles, it is an equilateral triangle. Every equilateral triangle is isosceles, but it was not originally given that this triangle is equilateral by the given figure.
