Question

In a righst angled triangle one of the acute angles measure 53 find teh measure of each angle of the triangle

Answer 1

We know in a triangle, sum of all interior angles is 180°.

∴ I^st angle + II^nd angle + III^rd angle = 180°.

⇒ 53° + 90° + III^rd angle = 180° [one angle = 53° and another angle = 90°]

⇒ 143° + III^rd angle = 180°

⇒ III^rd angle = 180° – 143° = 37°

Hence, the required angle is 37°.