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2 years ago

If AFGH AQRS, find the measure of Q.

Mathematics

1 answer:

irakobra [83]2 years ago

7 0

Answer:

D. 28°

Step-by-step explanation:

Since ∆FGH is congruent to ∆QRS, it follows that:

$m\angle F = m\angle Q$

Thus:

$2x + 10 = 3x + 1$ (Substitution)

Collect like terms

$2x - 3x = -10 + 1$

$-x = -9$

Divide both sides by -1

x = 9

$\angle Q = 3x + 1$

Plug in the value of x

$\angle Q = 3(9) + 1$

$\angle Q = 28 degrees$

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