Question

Two angles form a linear pair. The measure of the smaller angle is one half the measure of the larger angle. What is the degree measure of the larger angle?

Answer 1

`120^@`

Explanation:

Angles in a linear pair form a straight line with a total degree measure of `180^@`.

If the smaller angle in the pair is one half the measure of the larger angle, we can relate them as such:

Smaller angle`=x^@`
Larger angle`=2x^@`

Since the sum of the angles is `180^@`, we can say that `x+2x=180`.

This simplifies to be `3x=180`, so `x=60`.

Thus, the larger angle is `(2xx60)^@`, or `120^@`.