Question

If two supplementary angles are in the ratio 1 : 2, then the bigger angle is ______.

विकल्प

• 120°

• 125°

• 110°

• 90°

Answer 1

If two supplementary angles are in the ratio 1 : 2, then the bigger angle is 120°.

Explanation:

We know that, when the sum of the measures of two angles is 180°, then the angles are called supplementary angles.

Let us assume two angles be 1x and 2x.

∴ 1x + 2x = 180°

⇒ 3x = 180°

⇒ x = `180^circ/3`

⇒ x = 60°

∴ The bigger angle is 2x = 2 × 60° = 120°.