Question

If two angles are supplementary, and one angle is twice as large as the other, find the number of degrees in the measure of the smaller angle.

a) 60 degrees
b) 90 degrees
c) 120 degrees
d) 150 degrees

Answer 1

The measure of the smaller angle is 60 degrees. Hence the correct answer is option A

Step-by-step explanation:

Let's assume that the smaller angle is x degrees. Since the larger angle is twice as large as the smaller angle, the larger angle is 2x degrees. The sum of two supplementary angles is 180 degrees. Therefore, we can write the equation:

x + (2x) = 180

Combining like terms, we get 3x = 180. Dividing both sides by 3, we find that x = 60.

So, the number of degrees in the measure of the smaller angle is 60 degrees (option a).

Answer 2

a) 60 degrees

Step-by-step explanation:

Supplementary angles add to 180.

Let x be the smaller angle.

The larger angle is 2x.

The two angles add to 180 since they are supplementary.

x+2x = 180

3x=180

x = 180/3

x=60

The smaller angle is 60 degrees.