Question

if two supplementary angles differ by 72 degree then one of the angle is

Answer 1

108 degrees as 180-72 is 108 degrees

Answer 2

Let one angle be x.

Given that two angles differ by 72.

Then the other angle will be x+ 72.

We know that Two angles are supplementary if their sum is two right angles i.e 180.

x + x + 72 = 180

2x + 72 = 180

2x = 180 - 72

2x = 108

x = 108/2

x = 54.

If one angle is 54.Then the other angle will be x + 72 = 54 + 72 = 126 degrees.


Therefore the angles are 54 and 126.


Hope this helps!