Answer:
x = 9; Option C
Step-by-step explanation:
If p ║q, we are provided with the following properties;
Same Side Interior / Exterior ∠s ⇒ supplementary,
Alternate Interior / Exterior ∠s ⇒ ≅,
Corresponding ∠s ⇒ ≅
If we are focusing on the measure of two alternate interior angles, say a and b, we can assign them as such;
a ⇒ 9x + 8, and b ⇒ 15x - 46
m∠ a = m∠ b ⇒ provided they are alternate interior ∠s,
9x + 8 = 15x - 46 ⇒ Add 46 on either side of equation,
9x + 54 = 15x ⇒ Subtract 9x from either side,
54 = 6x ⇒ Divide either side by 6,
Solution; x = 9
