Solve for X: Finding Angles in Parallel Lines with X+20° and 2X°

What is the value of X?

2XX+20

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find X
00:03 The lines are parallel according to the given information
00:10 Corresponding exterior angles are equal between parallel lines
00:14 We'll substitute appropriate values in the equation and solve to find X
00:18 Isolate X
00:26 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

What is the value of X?

2XX+20

2

Step-by-step solution

Since alternate angles are equal between parallel lines, they are equal to each other.

Therefore we can say that:

x+20=2x x+20=2x

We will move X to the right side and keep the plus and minus signs accordingly when making the change:

20=2xx 20=2x-x

20=x 20=x

3

Final Answer

X=70

Practice Quiz

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If one of two corresponding angles is a right angle, then the other angle will also be a right angle.

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