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Lemur [1.5K]
3 years ago
15

If FGH QRS, find the measure of Q A. 9 B.28 C.11 D.34

Mathematics
1 answer:
Ne4ueva [31]3 years ago
6 0

Answer:

  • 28°

Step-by-step explanation:

<u>Since ΔFHG ≅ QRC, the corresponding angles are congruent:</u>

  • ∠F = ∠Q
  • (2x + 10)° = (3x + 1)°
  • 3x - 2x = (10 - 1)°
  • x = 9°

<u>Then, the angle Q measures:</u>

  • ∠Q = (3*9 + 1)° = 28°
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