Question

Lines a and b are parallel and lines e and f are parallel.

What is the value of x?

8
82
98
172

Answer 1

Answer: second option.

Explanation:

It is important to remember that Vertical angles are defined as two non-adjacent angles formed by intersecting lines. These angles share the same vertex and they are congruent.

Observe the figure attached. Since lines "a" and "b" are parallel, you can notice that the angle 82° angle x° are Vertical angles. Therefore, they are congruent.

Then, the value of "x" is:

`x=82\°`

Answer 2

82

Explanation:

Alternate exterior angles where the transversal "e" crosses parallel lines "a" and "b" are congruent. x° ≅ 82°