Question

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

Answer 1

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`

Hence, 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. and so on.