Question

the difference of two complementary angle is 40 find the angles explain

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..

A/Q,

x-y=40........(1)

But,

x+y=90.......(2) [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..

Answer 2

We know that Two angles are complementary if the sum of their degree measures equals 90 degrees.

x + y = 90     ----- (1).

Given that Difference of two complementary angles is 40.

x + y + x - y = 90 + 40

2x = 130

x = 65.

Substitute x = 65 in (1), we get 

x + y = 90

65 + y = 90

y = 25.

The angles are 65 and 25.


Hope this helps!