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If FGH QRS, find the measure of Q

A. 9
B.28
C.11
D.34

If FGH QRS, find the measure of Q A. 9 B.28 C.11 D.34-example-1

1 Answer

5 votes

Answer:

  • 28°

Explanation:

Since ΔFHG ≅ QRC, the corresponding angles are congruent:

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

Then, the angle Q measures:

  • ∠Q = (3*9 + 1)° = 28°
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