Question

there is a diagram with two parallel vertical lines and a transversal line. the angle between one vertical line and the transversal is 77 degrees, and we need to find the value of x degrees (the angle between the other vertical line and the transversal on the other side).

Explanation:

Step1: Identify vertical angles

The 77° angle and the angle opposite to it (forming a pair with x°) are vertical angles, so they are equal.

Step2: Calculate x using straight line

x° + 77° = 180° (straight line is 180°)

Step3: Solve for x

x = 180 - 77 = 103

Answer:

103