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
Dec 1, 2015

#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^@#.