Question

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

Answer 1

Answer:

60-48=12

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Answer 2

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.