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Two parallel lines are crossed by a transversal.

What is the value of x?

Could someone tell me how to solve this?

Two parallel lines are crossed by a transversal. What is the value of x? Could someone-example-1

2 Answers

0 votes
Okay so (5x+5)+115 is going to equal 180.

1.) (5x+5)+115=180

The next steps is to isolate the x.

2.) 5x+120=180
3.) -120=-120
4.) 5x=60
5.) /5=/5
6.) x=12 degrees

Then, you check your work by plugging in the numbers.
7.) 5(12)+5+115=180
8.) 60+5+115=180
9.)180=180
User Alamar
by
6.2k points
2 votes
because both lines are parallel, if you add the 5x+5 to the 115 those would equal 180 degrees

so you have 5x+5 + 115 = 180

combine like terms:

5x + 120 = 180

subtract 120 from both sides

5x = 60

x = 60/5
x = 12
User Zhihuifan
by
7.1k points
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