Answer:
d = 23
Step-by-step explanation:
∠IHE and ∠GHF are vertical angles.
Vertical angles have the same measures (are congruent).
Therefore, if m∠IHE = d + 44 and m∠GHF = 4d - 25, then we have the equation:
d + 44 = 4d - 25 subtract 44 from both sides
d + 44 - 44 = 4d - 25 - 44
d = 4d - 69 subtract 4d from both sides
d - 4d = 4d - 4d - 69
-3d = -69 divide both sides by (-3)
-3d/(-3) = -69/(-3)
d = 23
