In a right -angled triangle, one of the acute angles measures 53∘ .Find the measure of each angle of the triangle.
ANSWER:
Let ABC be a triangle right-angled at B.
Then, ∠B=90° and let ∠A=53°.
∴∠A+∠B+∠C=180°
Sum of the angles of a triangle⇒53°+90°+∠C=180°⇒∠C=37°
Hence, ∠A=53°, ∠B=90° and ∠C=37°.