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bagirrra123 [75]
2 years ago
13

What does d equal ?? ​

Mathematics
1 answer:
Vlad1618 [11]2 years ago
7 0

Answer:

<h2>d = 23</h2>

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         <em>subtract 44 from both sides</em>

d + 44 - 44 = 4d - 25 - 44

d = 4d - 69            <em>subtract 4d from both sides</em>

d - 4d = 4d - 4d - 69

-3d = -69          <em>divide both sides by (-3)</em>

-3d/(-3) = -69/(-3)

d = 23

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