Question

there is a diagram with two parallel horizontal lines and a transversal intersecting them. at the intersection with the lower horizontal line, one angle is 120° and the adjacent angle is x°. we need to find the value of x.

Explanation:

Step1: Identify supplementary angles

The 120° angle and its adjacent angle on the straight line are supplementary. So adjacent angle = 180° - 120° = 60°.

Step2: Recognize vertical angles

The adjacent angle (60°) and \(x^\circ\) are vertical angles, so they are equal.

Answer:

60