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Masteriza [31]
2 years ago
12

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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