Question

Given m ll n, find the value of x.

Answer 1

x = 17

Since one line is 180 and the equations added together would equal one line, to find x, the equation would be (x+14)+(9x-4)=180. Now, solve for x.

x + 14 + 9x - 4 = 180

Combine like terms.

x + 14 + 9x - 4 = 180

10x+10=180

Subtract 10 from each side.

10x + 10 -10 = 180 -10

10x =1 70

Divide each side by 10.

10x /10 = 170 /10

x=17

And there you have it! x=17

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Answer 2

17

Explanation:

Those two angles are formed by a transversal line cutting into two parallel lines, and they are supplementary.

• Supplementary angles are angles that add up to 180°.

So we can write the following equation to find the value of x:

9x - 4 + x + 14 = 180

• Add like terms.

10x + 10 = 180

• Subtract 10 from both sides.

10x = 170

• Divide both sides by 10.

x = 17