Question

PLEASE HELP 15 POINTS.

the lines a and b intersect at point D. What is the value of z? Enter your answer in the box. z = Lines a and b intersect at point D. Acute vertical angles measure five z plus eight degrees and four z plus twenty degrees.

Answer 1

12

Explanation:

Answer 2

`z=12`

Explanation:

The lines a and b intersect at point D. Angles with measures
`(5z+8)^(\circ)` and
`(4z+20)^(\circ)` are vertical angles.

Vertical angles theorem states that vertical angles, angles that are opposite each other and formed by two intersecting straight lines, are congruent.

Congruent angles have equal measures.

Hence,

`5z+8=4z+20\\ \\5z-4z=20-8\\ \\z=12`