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Given m||n, find the value of x

Given m||n, find the value of x-example-1
User Surrena
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2 Answers

5 votes

Because m and n are parallel, we can use the supplementary angles theorem. This means that the two angles add up to equal 180°.

Knowing this, we can add the two angles together and they should equal 180:

(3x + 5) + (x - 25) = 180

4x - 20 = 160

4x = 160

x = 40

If needed, to find the angle measures, we can just plug in our x value to find the measures of the angles.

User Puckl
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3.1k points
4 votes

Explanation:

3x+5+x-25=180°

4x=180°+20

x=50

User Nitseg
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4.1k points