Question

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

Answer 1

Answer:

Step-by-step explanation:

9x - 4 + 5x + 16 = 180

14x + 12 = 180

14x = 168

x = 12

Answer 2

Answer:

$x=12$

Step-by-step 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.