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In AUVW,UV = WU and m_W = 31°. Find mZU.
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In AUVW,UV = WU and m_W = 31°. Find mZU.

In AUVW,UV = WU and m_W = 31°. Find mZU.-example-1
User LouisB
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1 Answer

13 votes

Answer:

m<U = 118°

Explanation:

∆UVW is an isosceles ∆ because it has two equal sides, UV and WU.

UV is opposite to <W = 31°

WU is opposite to <V = 31° (this is because the two equal sides of an isosceles ∆ has opposite angles that are also congruent).

Thus:

m<U = 180 - (m<W + m<V) (sum of triangle)

m<U = 180 - (31 + 31)

m<U = 118°

User Jonathan Spiller
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