Question

the measure of one angle of the angles in a linear is 30 less than one-half the measure of the other angle. Find the measure of each angle.

Answer 1

140° and 40°

Explanation:

let x be one angle then the other is
`(1)/(2)` x - 30

Since the angles are a linear pair, theis sum is 180° , then

x +
`(1)/(2)` x - 30 = 180, that is

`(3)/(2)` x - 30 = 180 ( add 30 to both sides )

`(3)/(2)` x = 210 ( multiply both sides by 2 to clear the fraction )

3x = 420 ( divide both sides by 3 )

x = 140

and
`(1)/(2)` x - 30 =
`(1)/(2)` (140) - 30 = 70 - 30 = 40

The 2 angles are 140° and 40°