Question

find the value of x. show your steps. (see example 27)

Explanation:

Step1: Identify supplementary angle

The angle supplementary to $128^\circ$ is $180^\circ - 128^\circ = 52^\circ$. This angle is congruent to $2x^\circ$ (corresponding angles for parallel lines cut by a transversal).

Step2: Set up equation for $2x$

$2x = 52$

Step3: Solve for $x$

$x = \frac{52}{2}$

Answer:

$x = 26$