The larger of two supplementary angles is 60° more than the smaller one. The smaller angle (in degree) is:

Correct option is C

Given:

The two angles are supplementary, meaning their sum is 180°.
The larger angle is 60° more than the smaller one.

Concept Used:

Supplementary angles: The sum of two supplementary angles is 180°.
Let the smaller angle be x. The larger angle is x + 60°.

Formula Used:

Supplementary angles: Smaller angle + Larger angle = 180°

Solution:

Let the smaller angle be x.

Step 1: Express the larger angle.
The larger angle is 60° more than the smaller angle, so:
Larger angle = x + 60°

Step 2: Use the fact that the angles are supplementary.
The sum of the two angles is 180°:
x + (x + 60°) = 180°
Simplifying:
2x + 60° = 180°
Subtracting 60° from both sides:
2x = 120°
Dividing by 2:
x = 60°