Answer:
∠IHD = 46°
Explanation:
You want the measure of ∠IHD = 7x+4, given that adjacent angle DHG = 125°, and their total ∠IHG is 27x+9.
Angle sum
The sum of the parts is equal to the whole:
∠IHD + ∠DHG = ∠IHG
(7x +4) +(125) = (27x +9)
120 = 20x . . . . . . . . . . . . subtract 7x+9
6 = x . . . . . . . . . . . . . . divide by 20
The angle of interest is ...
∠IHD = 7(6) +4 . . . . degrees
∠IHD = 46°
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