Question

The difference between two complementary angles is 40

Find the angles

Answer 1

We know that Sum of all the angles should be 90 degree for it to be complementary.

Let the angles be x and y degrees.

Since the difference is 40 degrees,
x - y = 40 ....(1)

But,

x + y = 90 ....(2) [By the definition of complementary angles]


By eliminating (1) and (2) we get,

x = 25 degrees.

Putting the value of x in eq.(2) we get ,

y = 65 degrees.