In triangle VWX, VW=VX. If measure of angle V= 50, what are the measures of angles W and X?

It is an isosceles triangle with angle V at the vertex
The measures of the other 2 angles are
angle W and angle X = (180 -50) / 2
angle W and angle X = 65 degrees each

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JeanaShupp JeanaShupp · Answer 2 · 2019-04-19T23:05:26+02:00

Answer: ∠W=∠X=65°

Step-by-step explanation:

The isosceles triangle theorem says that if two sides of a triangle are congruent then the angles opposite to these sides are congruent.

Given: In triangle VWX, VW=VX.

⇒ ∠W=∠X [By isosceles theorem]................................(1)

Using angle sum property in ΔVWX, we get

∠V+∠W+∠X=180°

If measure of ∠V= 50°

⇒ 50°+∠W+∠W=180°.................................[Using (1)]

⇒ 2∠W=180°-50°

⇒ 2∠W=130°

⇒ ∠W=65°

Therefore, the measure of ∠W=∠X=65°