zSweatestNathann
zSweatestNathann zSweatestNathann
  • 08-12-2020
  • Mathematics
contestada

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 B28 C11 D34 class=

Respuesta :

mhanifa
mhanifa mhanifa
  • 17-12-2020

Answer:

  • 28°

Step-by-step 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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