Question

1. if $m\angle feg = 30$, find $m\angle deg$

$m\angle deg = \underline{quadquad}$

Explanation:

Step1: Identify straight angle property

$\angle DEH = 180^\circ$ (straight angle)

Step2: Split angle into components

$\angle DEG = \angle DEF + \angle FEG$
We know $\angle DEF = 90^\circ$ (right angle, indicated by perpendicular lines) and $\angle FEG = 30^\circ$.

Step3: Calculate the target angle

$\angle DEG = 90^\circ + 30^\circ$

Answer:

$120^\circ$