Question

An angle is greater than 45º. Is its complementary angle greater than 45º or equal to 45º or less than 45º?

Answer 1

comp.ang.=90°

so, ang. = egual to 45°

Answer 2

Answer:

Less than 45°.

Step-by-step explanation:

In the given question,

We have the value of the angle greater than 45°

also,

Complementary angles are given as the angles whose sum is equal to 90 degree.

Therefore,

The sum of the angles = 90°.

Now, as one of the angles is greater than 45°, therefore, for the sum of the both angles to be equal to 90 the other angle will have to have the value less than that of 45 degree.

That is,

If,

A = 45 + x

and,

A + B = 90

so,

B = 90 - A = 90 - (45 + x) = 45 - x

Which means the other angle should be less than 45 degree for them to be complementary.

Therefore, it's Complementary angle is less than 45°.