Question

The sum of two angles of a triangle is 150°, and their difference is 30°. Find the angles.

Answer 1

Sum of two angles of a triangle = 150°

Difference = 30°

Let A and B be the two angles.

Then, ∠A + ∠B = 150°

And ∠A – ∠B = 30°

Adding the above equations, we get

⇒ 2∠A = 180°

⇒ ∠A = 90°

∴ 90° – ∠B = 30°

∠B = 90° – 30° = 60°

Hence, the angles are 90° and 60°.