Answer:
m∠HGE = 35°
Explanation:
The measure of angle HGF is made up of the sums of the measures of angles EGF and HGE as:
m∠HGF = m∠EGF + m∠HGE
Thus, we can plug in 145 for m∠HGF and 110 for m∠EGF to find m∠HGE:
(145 = 110 + m∠HGE) - 110
35 = m∠HGE
Thus, m∠HGE = 35°.