The larger of two supplementary angles is 62° more than the smaller one. The smaller angle (in degree) is:

Correct option is B

Given:

Two angles are supplementary;

The larger angle is 62° more than the smaller one;

Sum of supplementary angles is 180°.

Concept Used:

If two angles are supplementary, their sum is 180°.

Solution:

Smaller angle = x

Larger angle = x + 62

Now, 

x + x + 62 = 180

2x + 62 = 180

2x = 180 - 62 = 118

x = $$\frac{118}{2}$$​ = 59 

Thus, smaller angle is 59^o