Question

1. 65° 5 (11x - 17)°

Explanation:

Step1: Identify angle relationship

The 65° angle and $\angle5$ are corresponding angles, so $m\angle5 = 65^\circ$. Also, $\angle5$ and $(11x-17)^\circ$ are supplementary (linear pair), so their sum is $180^\circ$.

Step2: Set up the equation

$$65 + (11x - 17) = 180$$

Step3: Simplify left side

$$11x + 48 = 180$$

Step4: Isolate the term with $x$

$$11x = 180 - 48$$
$$11x = 132$$

Step5: Solve for $x$

$$x = \frac{132}{11}$$

Answer:

$x = 12$