Question

1. The larger of two supplementary angles is 15 more than twice the measure of the smaller angle. Find each angle measure.Help

Answer 1

55 degrees and 125 degrees

Explanation:

Supplementary means that they add up to 180.

x + y = 180

Let's let x be the larger angle.

x = 15 + 2y

The above equation comes from the information given, that it's 15 more than twice the smaller angle.

Now let's use substitution.

x + y = 180

(15 + 2y) + y = 180

15 + 3y = 180

3y = 165

y = 55

The smaller angle is 55. Plug this back in to the first equation to get x.

x + y = 180

x + 55 = 180

x = 125

Now that you have both, test them again just to be sure that they fit the given conditions.