Q10 of 153 Page 144

In a right-angled triangle, one of the acute measures 53°. Find the measure of each angle of the triangle.

53°, 37°, 90°


Let PQR be a right angle triangle.


Right angle at P, then


∠P = 90° and ∠Q = 53° ____________________________________ (i)


We know that sum of angles of triangle = 180°


∠P + ∠Q + ∠R = 180° [Sum of angles]


⇒ 90° + 53° + ∠R = 180° [From equation (i)]


⇒ ∠R = 37°


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