Question

Plz plz plz help me no incorrect answers plz

Answer 1

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°