Question

Angle R is 30 degrees less than twice the measure of Angle T. Angles R and T are supplementary. Find the measure of each angle.

Answer 1

Angle T would be 70 degrees and angle R would be 110 degrees

Explanation:

Since supplementary angles are equal to 180, we can model the angles with the measure below and then add together to get equal to 180.

Angle T = x

Angle R = 2x - 30

x + 2x - 30 = 180

3x = 210

x = 70

Now we know that Angle T is equal to 70 and we can use that to find the measure of Angle R

Angle R = 2x - 30

Angle R = 2(70) - 30

Angle R = 140 - 30

Angle R = 110