Question

Solve for the value of q.
(q+2)
(39-2)
pls help asap

Answer 1

q = 45

Explanation:

A linear pair is a pair of adjacent angles formed when two lines intersect. Adjacent angles are angles that share a common vertex and a common arm.

Linear pairs are always supplementary angles, meaning that their measures add up to 180 degrees.

In this case:

(q+2)° and (3q - 2)° are angles of linear pair.

So,

(q+2)° + (3q - 2)° = 180°

Simplify like terms:

4q = 180

Divide both sides by 4.

`\sf (4q)/(4 )=(180)/(4)`

q = 45

Therefore, the value of q is 45.