Answer:
x = 7
Step-by-step explanation:
Given:
∠DEF = 117°
∠DEG = (12x + 1)°
∠GEF = (5x - 3)°
Find:
value of x
Computation:
∠DEF = ∠DEG + ∠GEF
117° = (12x + 1)° + (5x - 3)°
117° = 17 x - 2
7
(12x + 1) + (5x - 3) = 117
17x - 2 = 117 Combine like terms
17x = 119 Add 2 to both sides
x = 7 Divide both sides by 17
