62,743 views
14 votes
14 votes
Find the x and y values? I'm not really sure how to get y but I can seem to get the x value.

Find the x and y values? I'm not really sure how to get y but I can seem to get the-example-1
User Wzazza
by
2.9k points

2 Answers

5 votes
5 votes
Y is the same as the X value.

They are vertical angles which are congruent.
User Shauna
by
2.6k points
12 votes
12 votes

Because the lines are parallel, the 71 degree angle and the (5x-26) angle when added together need to equal 180 degrees.

SO you have 71 + 5x -26 = 180

Simplify:

5x + 45 = 180

Subtract 45 from both sides:

5x = 135

Divide both sides by 5:

x = 135 / 5

x = 27

Now you have x solve what that angle equals:

5x - 26 = 5(27) - 26 = 135 - 26 = 109 degrees

The angle Y and the angle 5x-26 are vertical angles, which mean they are the same,

so now we know 5x-26 = 109 degrees, so Y also equals 109 degrees.

The answers are:

x = 27

y = 109

User Zied
by
3.3k points