Question

(f) x + 27 8x

Explanation:

Step1: Identify angle - relationship

Assume the two angles are vertical angles (since no other information about the parallel - lines and angle - types is given, and vertical angles are equal). Set up the equation $x + 27=8x$.

Step2: Solve the equation for x

Subtract x from both sides: $27 = 8x−x$.
Simplify the right - hand side: $27 = 7x$.
Divide both sides by 7: $x=\frac{27}{7}$.

Answer:

$x = \frac{27}{7}$