Question

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

Answer 1

Let ABC be a triangle right-angled at B.
Then, $\angle B=90°\text{and let}\angle A=53°.$
$$\begin{gathered} \therefore \angle A+\angle B+\angle C=180°\left[\text{Sum of the angles of a triangle}\right] \\ \Rightarrow 53°+90°+\angle C=180° \\ \Rightarrow \angle C=37° \end{gathered}$$
Hence, $\angle A=53°,\angle B=90°\text{and}\angle C=37°$.