Question

Two angles form a linear pair. The measure of one angle is the measure of the other angle. Find the measure of each angle.

The smaller angle measures
The larger angle measures

Answer 1

The measure of each angle in a linear pair is supplementary, meaning they add up to 180 degrees. Since the measure of one angle is the same as the other angle in this case, let's represent the measure of both angles as x.

To find the measure of each angle, we can set up the equation:

x + x = 180

Combining like terms, we have:

2x = 180

To solve for x, we divide both sides of the equation by 2:

x = 90

Therefore, both angles in the linear pair measure 90 degrees.

Explanation: