Answer:
A. x = 10°, m∠FGH = 24°
B. m∠HGI = 24°
C. m∠FGI = 48°
Step-by-step explanation:
A. Bisected angles are congruent:
3x - 6° = 4x - 16°
3x = 4x - 10°
4x - 3x = 10°
x = 10°
m∠FGH = 3(10°) - 6 = 30° - 6° = 24°
B. m∠HGI = 4x - 16°
4(10°) - 16° = 40° - 16° = 24°
(Theoretically, we didn't need to solve this, they are both congruent because it is a bisected angle.)
C. m∠FGI = m∠FGH + m∠HGI
m∠FGI = 24° + 24° = 48°
-Chetan K
