Question

The acute angles of a right angled triangle are in the ratio of 2:3 . find the angles of the triangle

Answer 1

Let the acute angles be 2x and 3x respectively.

∴ In a right-angled triangle, the angle-sum property will be:-
180° = 90° + 2x + 3x

⇒ 180° = 90° + 5x
⇒ 180° - 90° = 5x
⇒ 90° = 5x
⇒ x = 90°/5
⇒ x = 18°

∴ 2x = 2 x 18° = 36° and 3x = 3 x 18° = 54°