Question

A figure shows two supplementary, nonadjacent angles with measures (2x + 12)° and (3x +18)°.

What is the measure of the smaller angle?

Answer 1

[AI-generated answer — Bot GPT 3.5]

Since the two angles are supplementary, their measures add up to 180 degrees.

So, we can set up the equation: (2x + 12) + (3x + 18) = 180

Combining like terms: 5x + 30 = 180

Subtracting 30 from both sides: 5x = 150

Dividing by 5: x = 30

Now that we have found the value of x, we can substitute it back into one of the angle expressions to find the measure of the smaller angle:

Smaller angle = 2x + 12 = 2(30) + 12 = 60 + 12 = 72 degrees

Therefore, the measure of the smaller angle is 72 degrees.