Question

Examine the figure of two parallel lines cut by a transversal.

What is the value of x?

Answer 1

x = 17

Explanation:

75° and (4x + 7)° are alternate interior angles.

If two lines are cut by a transversal, then the alternate interior angles are congruent.

75 = 4x + 7

=> 4x = 68

=> x = 17

Answer 2

x=17

Explanation:

The angles present are Alternative interior angles. That means that they are congruent. Meaning 4x+7 = 75. To solve for 7, you subtract 7 from both sides. That leaves you with 4x=68. Then you divide both sides with 4. Then you get x=17.

Hope this helps!

BTS!!