Question

If 7 || m, find the value of x
(9x - 4)' Us 4+ (5x + 16)"

Answer 1

Explanation:

9x - 4 + 5x + 16 = 180

14x + 12 = 180

14x = 168

x = 12

Answer 2

`x=12`

Explanation:

We know that
`\ell\parallel m`.

Then by the properties of a transversal cutting a pair of parallel lines, we can write:

`(9x-4)+(5x+16)=180`

The property used here is the Consecutive Angles Property. The two consecutive angles are supplementary.

Now, we can solve for x. Rearrange:

`(9x+5x)+(-4+16)=180`

Combine like terms:

`14x+12=180`

Subtract 12 from both sides:

`14x=168`

Divide both sides by 14:

`x=12`

So, the value of x is 12.