Question

solve for x.

x =
submit

Explanation:

Step1: Set up the equation

Since \( \angle PSO \) and \( \angle RTQ \) are vertical angles, \( 15x + 11=5x + 69 \).

Step2: Solve for \( x \)

Subtract \( 5x \) from both sides: \( 15x-5x + 11=5x-5x + 69 \), which simplifies to \( 10x+11 = 69 \).
Subtract \( 11 \) from both sides: \( 10x+11 - 11=69 - 11 \), so \( 10x=58 \).
Divide both sides by \( 10 \): \( x=\frac{58}{10}= 5.8 \).

Answer:

\(x = 5.8\)