Grace2213 Grace2213

26-01-2022
Mathematics

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If A ABC ~ ARST and m 2 A = 42°, m 2 C = 60°,
find the measure of < S.

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devishri1977 devishri1977

26-01-2022

Answer:

78

Step-by-step explanation:

∠A + ∠B + ∠C = 180 { Angle sum property of triangle}

42 + ∠B + 60 = 180

∠B + 102 = 180

∠B = 180 - 102 = 78

In similar triangles, corresponding angles are congruent.

∠S ≅ ∠B

∠S = 78°

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