zSweatestNathann zSweatestNathann

08-12-2020
Mathematics

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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 B28 C11 D34 class=

Respuesta :

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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