Question

Find the value of x posting picture

Answer 1

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