Question

The sum of two angles in ∆PQR is complementary with the right angle at Q.

(a) True

(b) False

The question was posed to me in an interview for job.

The origin of the question is Trigonometric Ratios of Complementary Angles in chapter Trigonometry of Mathematics – Class 10

Answer 1

The correct answer is (a) True

The best explanation: ∠P + ∠Q + ∠R = 180° ( ∵ The sum of angles in a triangle is 180°)

∠P + 90° + ∠R = 180°

∠P + ∠R = 180° – 90°

∠P + ∠R = 90°

Two angles are said to be complementary angles if the sum of these two angles is 90°.