Question

ray eg bisects ∠def. find m∠def (diagram shows ∠deg = 74°)

Explanation:

Step1: Recall angle bisector definition

An angle bisector divides an angle into two equal angles. So, \( \angle DEG = \angle GEF = 74^\circ \).

Step2: Calculate \( m\angle DEF \)

\( m\angle DEF = \angle DEG + \angle GEF = 74^\circ + 74^\circ \)
\( m\angle DEF = 148^\circ \)

Answer:

\( 148^\circ \)