Question

The measure of an angle 24 degree more than it's compliment. What is measure of an angle

Answer 1

Answer:

Step-by-step explanation:

Let the compliment be n.

2nd no.= 24 more than the compliment

            = 24 more than n

            =n+ 24

Now,

    sum of 2 complimentary angles = 90°

     n+ (n+24) = 90

     n+ n+ 24 = 90

               2n = 90- 24

               2n  = 66

                 n   = 66/2

                 n= 33

Hence, first angle is 33 degrees

Second angle is 33+ 24= 57 degrees.

To prove this, 33+ (33+ 24) = 90 degrees