Question

ILL BRAINLIEST YOU IF YOU GET IT RIGHT

explanation please

Answer 1

The answer is D.


The angles shown are opposite interior angles meaning they are congruent. if you plug in 20 for x, they add up to be the same number, unlike the other options. so the answer is D

Answer 2

Answer:

$\boxed {\boxed {\sf D. \ x=20}}$

Step-by-step explanation:

If line m and line r are parallel, the two angles must be congruent, because they are alternate interior angles. Notice how the 2 lines and the transversal form a backwards "Z" and the angles are in the inner corners.

So, if the angles are congruent, we can set them equal to each other.

• 3x-35
• 7x-115

$7x-115=3x-35$  

Now, solve for x by isolating the variable. First, move all the constants to one side and the terms with variables to another.

115 is being subtracted and the inverse of subtraction is addition. Add 115 to both sides.

$7x-115+115=3x-35+115\\7x= 3x+(-35+115) \\7x=3x+80$

3x is being added and the inverse of addition is subtraction. Subtract 3x from both sides.

$7x-3x=3x-3x+80 \\4x=80$

x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.

$4x/4=80/4\\x=20$

If the lines are parallel, then x=20 so the angles are congruent.