Question

Consider that lines B and C are parallel. What is the value of x? What is the measure of the smaller angle?

Answer 1

C) x = 17; 52 degrees

Explanation:

x = 17; 52 degrees

Since lines B and C are parallel, the two angles are supplementary. Their sum is equal to 180 degrees.

2x + 18 + 6x + 26 = 180

8x + 44 = 180

8x = 136

x = 17

2x + 18 represents the smaller angle. Substitute 17 in for x.

2(17)+ 18

52 degrees

The measure of the smaller angle is 52 degrees.

Answer 2

The angles labeled are same side exterior which means that they are supplementary.

They both add up to 180.

2x + 18 + 6x + 26 = 180
8x + 44 = 180
8x = 136
x = 17

So x is 17.

Now to find The value of the smaller angle use 17 for x.

2(17) + 18
34 + 18
52

Hope this helps :)