The larger of two supplementary angles is 50° more than the smaller one. The smaller angle (in degree) is:

Correct option is A

Given:

Two angles are supplementary, meaning their sum is 180°

The larger angle is 50° more than the smaller one

Concept Used:

Since the angles are supplementary, their sum is 180°

Solution:

Let the smaller angle be x

The larger angle is x + 50^∘ (since it is 50° more than the smaller angle)

x + (x + 50) = 180

2x + 50 = 180

2x = 130

x = 65

Thus, The smaller angle is 65^∘