Question

Pls help asap im confused

Answer 1

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