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Given m|n, find the value of x. (3x-2) ( 2x=20

Given m|n, find the value of x. (3x-2) ( 2x=20-example-1
User SeanJ
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1 Answer

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We need to use the fact that the lines m and n are parallel (m||n). Thus we can identify the angles that congruent, that are equal.

In this case, we can see that the following angles are the same:

That is because they are on the same side in the parallel lines.

Next we use the fact that angles opposite to a vertex are equal:

And we apply this to our problem:

Thus we will have the following equation:


3x-2=2x+30

And we solve this

Given m|n, find the value of x. (3x-2) ( 2x=20-example-1
Given m|n, find the value of x. (3x-2) ( 2x=20-example-2
Given m|n, find the value of x. (3x-2) ( 2x=20-example-3