Question

The difference in the measures of two complementary angles is 12. Find the measures of the angles.​

Answer 1

Answer:

Therefore, the two angles are 51 degree and 39 degree.

This discussion on The difference in the measures of two complementary angles is 12.

Step-by-step explanation:

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Answer 2

51 degree and 39 degree.

Step-by-step explanation:

Let the two angles be x and y

Given, x-y=12

We know that the sum of complementary angles is 90

Therefore, x+y=90

so, x=90-y

Substitute x in x-y=12

Therefore, 90-y-y = 12

                90-2y = 12

                 -2y = 12 - 90

                 -2y =  -78

                    y = -78/-2

                    y = 39

Substitute y in x - y = 12

                      x - 39 = 12

                      x = 12+39

                      x = 51

Therefore, the two angles are 51 degree and 39 degree.