Steps: ∠EFG = 122°
1. You know ∠1 = ∠2 and ∠1 = (3x - 2), therefore ∠2 also equals (3x - 2).
2. ∠EFG = (5x + 17), and ∠1 + ∠2 = ∠EFG based on the graph.
3. Using what you know, make an equation to find value of x:
∠EFG = ∠1 + ∠2
(5x + 17) = (3x - 2) + (3x - 2)
5x + 17 = 3x + 3x - 2 - 2
5x + 17 = 6x - 4 (Subtract 5x from both sides)
17 = x - 4 (Add 4 to both sides)
21 = x
x = 21
4. Plug value of x into (5x + 17) to find ∠EFG
5(21) + 17
105 + 17
122°
