Question

The angle measurements in the diagram are represented by the following expressions

Answer 1

x = 15; Angle B = 108

Explanation:

Angles A and B are alternate exterior angles, so they are congruent to one another. To solve for x, set them equal to each other.

6x + 18 = x + 93 and

5x = 75 so

x = 15

To solve for x, sub in 15 and solve:

15 + 93 = 108. That means that both A and B measure 108.

Answer 2

x= 15º

Explanation:

In order to solve this you just have to remember the properties of the angles formed when a straight line cuts two parallel lines, remember that it creates 4 pairs of angles that are supplementary and congruent since this two are altern extern angles, they are congruent, meaning that they are equal, so to solve for x we just have to equalize both angles:

6x+18=x+93

6x -x= 93-18

5x=75

x=75/5

x= 15

So the value of x is 15 grades.