Question

90+30

1. assuming m∠ deh 180, find m∠ feg

m∠ feg =
(and there is a diagram with points d, e, h, f, g, angles marked 70° etc.)

Explanation:

Step1: Identify straight angle sum

$\angle DEH = 180^\circ$, so $\angle DEF + \angle FEG + \angle GEH = 180^\circ$

Step2: Substitute known angles

$\angle DEF = 70^\circ$, $\angle GEH = 70^\circ$, so:
$70^\circ + m\angle FEG + 70^\circ = 180^\circ$

Step3: Solve for unknown angle

$m\angle FEG = 180^\circ - 70^\circ - 70^\circ$
$m\angle FEG = 40^\circ$

Answer:

$40^\circ$