Question

Find the measure of x

Answer 1

Check the picture below.

let's recall that vertical angles, angles across a junction, are equal, namely the angle across the "x" is also "x".

Answer 2

Explanation:

The angle adjacent to the 106 degree angle is 180 degrees - 106 degrees, or 74 degrees. Next, the adjacent angle to the 145 degree angle is 35 degrees; in other words, the two bottom angles of this triangle are 35 degrees and 35 degrees. That means that a 35 degree angle is vertical angle to x, and so x is also 35 degrees.

The sum of the three interior angles is 35 degrees + 74 degrees and