Question

1. what is the value of x?

image of two parallel lines cut by a transversal, with one angle labeled 122° and angle x to find, and a table below with numbers 32 (purple), 58 (light blue, circled), 122 (white)

Explanation:

Step1: Identify supplementary angle

The 122° angle and its adjacent angle on the straight line are supplementary.
$180^\circ - 122^\circ = 58^\circ$

Step2: Recognize corresponding angles

The adjacent angle (58°) and $x^\circ$ are corresponding angles (since lines are parallel).
$x = 58$

Answer:

58