Question

PLEASE HELP

lines m and p are cut by the transversal n. determine the value of x. write the measures of the six angles. show all work

Answer 1

x° + 4x° = 180°

5x° = 180°

x° = 180°/5

x° = 36°

Answer 2

x = 36

Explanation:

The angles 4x and x are supplementary, meaning they add up to 180; therefore we have

`4x + x = 180`

`5x = 180`

dividing both sides by 5 gives

`x = 36`

the measure of angle x is 36 and that of 4x is 4 * 36 = 144

The angle opposite to 4x also measures 144 and the one opposite to x is 36.