Question

If DEF and FEG are a linear pair and DEF = 135°, determine the measure of FEG.
FEG=?

Answer 1

The measure of FEG is 45°.

Step-by-step explanation:

A linear pair is a pair of adjacent angles formed when two lines intersect. The sum of the measures of the two angles in a linear pair is always equal to 180°.

Given that DEF is a linear pair and DEF = 135°, we can find the measure of angle FEG. Since the sum of the angles in a linear pair is 180°, we subtract the measure of DEF from 180°: 180° - 135° = 45°.

Therefore, the measure of FEG is 45°.