Question

The measure of angle 1 is 30 degrees less than twice the measure of angle 2. What is the measure of angle 1. What is the measure of angle 2

Answer 1

Answer:

110°

Step-by-step explanation:

the supplement of an angle is 30 degrees less than twice the measure of the angle itself. find the angle and its supplement.

Let the angle be A, then its supplement = (180 - A)

Now, since the supplement is 30 degrees less than twice the measure of the angle itself, then we'll have:

 

180 - A = 2A - 30

-3A = - 210

A, or the angle = $\frac{-210}{-3}$= 70 °

Its supplement, (180 - A) = 180 - 70 = 110°