Answer:
∠EHF = 99°
Explanation:
Given ∠EHG = 176°, ∠EHF = (4y+107)°, and ∠FHG = (10y+97)°, you want the measure of angle EHF.
Angle Addition
Angle EHG is the sum of its parts:
∠EHG = ∠EHG +∠FHG
176° = (4y+107)° +(10y+97)° . . . . use the given values
176 = 14y +204 . . . . . . . . . simplify, divide by °
-28 = 14y . . . . . . . . . . subtract 204
-2 = y . . . . . . . . . . divide by 14
∠EHF = (4y +107)° = (4(-2) +107)°
∠EHF = 99°