Answered

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2. Given that APOR - ASTU, MZP = 40°, and m2Q = 82°, find mZU

2 Given That APOR ASTU MZP 40 And M2Q 82 Find MZU class=

Sagot :

m∠U = 58°

Explanation:

The symbol (~) means triangle PQR is similar to triangle STU

When two triangles are similar, their three angles are the same

∠P = ∠S = 40°

∠Q = ∠T = 82°

∠R = ∠U

The sum of angles in a triangle = 180°

Using triangle PQR:

∠P + ∠Q + ∠R = 180°

40 + 82 + ∠R = 180°

122 + ∠R = 180

∠R = 180 - 122

∠R = 58°

Since ∠R = ∠U = 58°

Hence, m∠U = 58°

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