Which is the best approximation for the measure of angle egf? 32.8° 40.2° 49.8° 57.2°

Angle EGF = x

Sin x = 12/18.6

Sinx ≈ 0.6452

x ≈ Sin⁻¹(0.6452).      Use a calculator.

x ≈ 40.18°

x ≈ 40.2°

Second option.