Question

Two angles are supplementary. They have measures of (7x + 2)° and (3x - 2)° , respectively. What is the value of x?

Answer 1

`x = 18`

Explanation:

Supplementary angles sum to `180^o`

Therefore:
`(7x+2) + (3x-2) = 180`
`10x = 180`
`x = 18`

Hence, `x = 18`

Answer 2

`x=18`

Explanation:

`• " Supplementary angles sum to "180^@`

`rArr7xcancel(+2)+3xcancel(-2)=180`

`rArr10x=180`

`"divide both sides by 10"`

`(cancel(10) x)/cancel(10)=180/10`

`rArrx=18`

`"thus the measure of the 2 angles are"`

`7x+2=(7xx18)+2=126+2=128^@`

`3x-2=(3xx18)-2=54-2=52^@`

`"and "128^@+52^@=180^@`