Question

What does angle α equal if β=α+30° ?​

Answer 1

Angle α and  β are supplementary angles and when added together equal 180.

Set up an equation:

α + β = 180

β = α +30

Replace β in the first equation, to get:

α + α +30 = 180

Simplify:

2α +30 = 180

Subtract 30 from both sides:

2α = 150

Divide both sides by 2:

α = 150 /2

α = 75 degrees.