Question

HELP ASAP WILL MARK BRAINIEST!! Solve.

Answer 1

Answer:

See below.

Step-by-step explanation:

Here, we have two (presumably) parallel lines cut by a transversal. The two expressions corresponds to alternate interior angles. Alternate interior angles are always equivalent when two parallel lines are cut by a transversal. In other words, the two expressions are equal to each other. Therefore:

EQUATION:

$-8x+8=-6x+20$

Now, solve for x to find the value of x:

$-8x+8=-6x+20\\-2x+8=20\\-2x=12\\x=-6$

So, the value of x is -6.

To find the angle measures, simply plug -6 as x back into the expressions:

$-8(-6)+8=48+8=56\\-6(-6)+20=36+20=56$

Thus, each of the angle measures 56 degrees. As expected, they are equivalent.