Question

Find x in the given figure. answers: 18 144 24 9

Answer 1

`x=24`

Explanation:

Angles in a straight line add up to 180°

`4x+9+2x+27=180`

`x=24`

Answer 2

x = 24°

Explanation:

To find 'x', the Alternate Exterior angle postulate will need to be used.

'4x + 9' and '2x + 27' are alternate exterior angles. Therefore, they must sum up to 180.

180 = 4x + 9 + 2x + 27

Combine like terms:

180 = 6x + 36

144 = 6x

x = 24°