Question
In AABC, ∠A = 85° and ∠C = 58°. If ΔPQR is
similar to ΔABC, and in correspondence, then find ∠Q.Solution
ΔΑΒC~ ΔΡQR, ∠A = 85° and ∠C = 58° In ∆ABC ∠A + ∠B + ∠C = 180° [The sum of interior angles of a triangle is 180°.] 85° + ∠B + 58° = 180° ∠B = 37° We know that the corresponding angles of similar triangles are equal. So,  ∠Q = ∠B = 37°
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