# 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?

##### 1 Answer

#### Explanation:

Angles in a linear pair form a straight line with a total degree measure of

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

**Smaller angle**

**Larger angle**

Since the sum of the angles is

This simplifies to be

Thus, the larger angle is