Question

Given angle 1 has a measure of 3x + 6 and angle 2 has a measure of x, what is the measure in degrees of angle 1 if the two angles are supplementary?

Question 4 options:

136.5°


130.5°


43.5°

Answer 1

Angle 1 = 3 . 43.5+6 =136.5°

Explanation:

To angles are supplementary when added up, the result is 180°.

So:

Angle 1 + Angle 2 = 180°

We know that angle 1 = 3x+6 and angle 2= x

So we get:

`3x+6+x=180\\4x+6=180\\4x=180-6\\4x=174\\x=174 : 4\\x=43.5`

If we know now that x=43.5, we can calculate the value of angle 1.

Angle 1 = 3 . 43.5+6 =136.5°