Question

In a right-angled triangle if an angle measures 35°, then find the measure of the third angle.

Answer 1

In a right-angled ΔABC,

∠A + ∠B + ∠C = 180°  ...[Angle sum property of a triangle]

⇒ ∠A + 90° + 35° = 180°   ...[∵ ∠B = 90° and ∠C = 35°, given]

⇒ ∠A + 125° = 180°

⇒ ∠A = 180° – 125° = 55°