Question

PLEASE FIND X ALGEBRA 1

Answer 1

x = 135

Explanation:

You need to find the supplementary angle of x.

1. Find the angle to the left of 100°. Recognize that the vertical angle theorem can be used. It equals 35°
2. Now, you can use the triangle sum theorem to find the needed supplementary angle. 100+35+z=180, where z is the supplementary angle. z = 45.

To find x, use the supplementary angle theorem. (The angles "lie" on a straight line, so they add up to 180°, or a straight line.)

45+x = 180

x = 135