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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