SOLVE FOR X, WILL GIVE BRAINLIEST

-- these are called same side interior angles, which are supplementary.

to solve for x:

3x + 37 + 2x - 7 = 180

5x + 30 = 180

5x = 150

x = 30

  x = 30

Explanation:

These angles shown are same side interior angles.

Due to the parallel lines, same side interior angles are always supplementary.

This means they add to 180

(2x-7)+(3x+37) = 180

2x-7+3x+37 = 180

(2x+3x)+(-7+37) = 180

5x+30 = 180

5x = 180-30 subtracting 30 from both sides

5x = 150

x = 150/5 ... dividing both sides by 5

x = 30