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

Question

In a right-angled triangle, one of the acute measures 53&#xB0; . Find the measure of each angle of the triangle.

Philoid · Accepted Answer

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°

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