If ∠G measures 40°, ∠F measures 49°, and f is 7 feet, then find g using the Law of Sines. Round your answer to the nearest foot. 4 feet
5 feet
6 feet
7 feet

75

Step-by-step explanation:

12,5°

Step-by-step explanation:

ΔABC has: ∠BAC + ∠ABC + ∠ACB = 180°

=> 60° + 35° + ∠BAC = 180°

=> ∠BAC = 180°- 60° - 35° = 85°

AE is the angle bisector of ∠BAC

=> ∠BAE = ∠CAE = ∠BAC/2 = 85°/2 = 42,5°

AD⊥BC => ΔADB is the right triangle at D

=> ∠ABD + ∠BAD = 90°

=> ∠BAD = 90° - ∠ABD = 90° - 60° = 30°

but ∠BAE = ∠BAD + ∠DAE = 42,5°

=> ∠DAE = 42,5° - 30° = 12,5°