Question

What is the measure of an angle, if three is subtracted from twice the supplement and the result is 297 degrees?

Answer 1

Answer: the measure of angle is
`30\textdegree`

Step-by-step explanation:

Let the angle be x

So,

Its supplement will become
`180\textdegree`

According to question,

we have given that ,

Twice the supplement = 2(
`180\textdegree`-x)

Subtracted by 3 = 2(
`180\textdegree`-x)-3

So, the result will be
`297\textdegree`, it means,

2(
`180\textdegree`-x)-3 =
`297\textdegree`

⇒
`360\textdegree`-2x-3 =
`297\textdegree`

⇒
`357\textdegree`-2x =
`297\textdegree`

⇒(-)2x =
`297\textdegree` -
`357\textdegree`

⇒(-)2x = (-)
`60\textdegree`

⇒2x =
`60\textdegree`

⇒x =
`(60)/(2)`

∴ the measure of angle =
`30\textdegree`