Question

If FGH QRS, find the measure of Q

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

Answer 1

• 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°