Question

the Supplementary angle of a complementary angle of an angle having measure 33° has measure 123°​

Answer 1

The complete  question is what is the value of angle which is complementary to 33 degree as well as  supplementary to 123 degree.

The answer is angle is 57 degree.

We know sum of two complementary angle is 90 degree and sum of two supplementary angle is 180 degree.

Let the value of angle be x degrees.

So as sum of complementary is 90 degree so we have:-

x + 33 = 90

x = 90-33

x = 57 .........(1)

Similarly sum of two supplementary is 180 degree so we have:-

x + 123 = 180

x + 180-123

x = 57......(2)

So from (1) and (2) we get:-

The angle which is complementary  to 33 degrees and which is supplementary to 123 degree is 57 degree.