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

Answer:

140° and 40°

Step-by-step explanation:

let x be one angle then the other is $\frac{1}{2}$ x - 30

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

x + $\frac{1}{2}$ x - 30 = 180, that is

$\frac{3}{2}$ x - 30 = 180 ( add 30 to both sides )

$\frac{3}{2}$ x = 210 ( multiply both sides by 2 to clear the fraction )

3x = 420 ( divide both sides by 3 )

x = 140

and $\frac{1}{2}$ x - 30 = $\frac{1}{2}$ (140) - 30 = 70 - 30 = 40

The 2 angles are 140° and 40°