Answer:
The value of x is -3
Step-by-step explanation:
- The vertical angles are equal in measures
∵ ∠A and ∠B are vertical angles
→ By using the rule above
∴ m∠A = m∠B
∵ m∠A = (3x + 26)°
∵ m∠B = (x + 20)°
→ Equate their measures
∴ 3x + 26 = x + 20
→ Subtract x from both sides
∵ 3x - x + 26 = x - x + 20
∴ 2x + 26 = 20
→ Subtract 26 from both sides
∵ 2x + 26 - 26 = 20 - 26
∴ 2x = -6
→ Divide both sides by 2
∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{-6}{2}[/tex]
∴ x = -3
∴ The value of x is -3
