Q. 104.2( 13 Votes )
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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