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In \triangle UVW,△UVW, \overline{VW}\cong \overline{UV}
VW
≅
UV
and \text{m}\angle V = 71^{\circ}.m∠V=71
∘
. Find \text{m}\angle U.m∠U.

Answer :

Answer:

m∠U = 54.5°

Step-by-step explanation:

ΔUVW is an isosceles triangle.  The angles opposite UV and VW are congruent.

That means m∠U = m∠W

Since the measures of the angles of a triangle have a sum of 180, then

m∠U + m∠W + m∠V = 180

m∠U + m∠U + 71 = 180

2 m∠U = 109

m∠U = 54.5°

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