Question

write a two - column proof. given: m∠gfi = 138°. prove: m∠efi = 44°. statements: 1. m∠gfi = 138°. reasons: 1. given. 2. m∠gfe + m∠efi = m∠gfi. 2. options: addition property of equality, definition of angle bisector, angle addition postulate

Explanation:

Step1: Recall angle - related postulate

The Angle Addition Postulate states that if we have two adjacent angles, the measure of the larger angle is the sum of the measures of the two smaller adjacent angles. In this case, since $\angle GFE$ and $\angle EFI$ are adjacent angles that together form $\angle GFI$, we have $m\angle GFE + m\angle EFI=m\angle GFI$.

Answer:

Angle Addition Postulate