Question

PLEASE HELP find the measure of each marked angle

Answer 1

Explanation:

When dealing with transversals, most angles either add to 180 or equal to each other. These angles form a linear pair so they add to 180

`(x + 1) + 4x - 36 = 180`

`5x - 35 = 180`

`5x = 215`

`x = 43`

So

`x + 1 = 43+ 1 = 44`

`4(43) - 36 = 136`

Answer 2

x + 1 = 44 degrees

4x - 36 = 136 degrees

Explanation:

Since the lines are parallel, the angles are same-side-interior angles, which means they are supplementary and add up to 180:

x + 1 + 4x - 36 = 180

5x - 35 = 180

5x = 180 + 35

5x = 215

x = 43

x + 1 = 43 + 1 = 44 degrees

4x - 36 = 4(43) - 36 = 136 degrees