Answer:
x = 26°
Step-by-step explanation:
Let us solve the question
In the given figure
∵ The ray NC bisects ∠WNB
→ That means it divides the angle into two equal angles, ∠WNC and ∠CNB.
∴ m∠WNC = m∠CNB
∵ m∠WNC = 3v - 4
∵ m∠CNB = 2v + 6
→ Equate the measures of the two angles
∴ 3v - 4 = 2v + 6
→ Add 4 to both sides
∵ 3v - 4 + 4 = 2v + 6 + 4
∴ 3v = 2v + 10
→ Subtract 2v from both sides
∵ 3v - 2v = 2v - 2v + 10
∴ v = 10
∵ x = m∠WNC
∴ x = 3v - 4
→ Substitute v by 10
∵ x = 3(10) - 4
∴ x = 30 - 4
∴ x = 26°
