Question

Angle 1 and angle 2 are supplementary. Angle 2 is 2 times the measurement of angle 1. What is the measurement of the larger angle?

Answer 1

Answer: The larger angle (Angle 2) is 120 degrees

Explanation:

Let's call Angle 1 x and call Angle 2 y.

Two angles being supplementary means that they add to 180.

This means x+y=180

Angle 2 is twice the measurement of angle 1.

This means 2x=y and that we can sub 2x in for y

x+2x=180

3x=180

Now solve for x

`3x=180\\(3x)/(3) =(180)/(3) \\x=60`

We know the value of x, so now let's sub in to find the value of y

`2x=y\\2(60)=y\\120=y`