Question

Fill in the blank:

The complement of an acute angle is ________ angle.

Answer 1

We know that;

1. If the sum of measures of two angles is equal to ${90}^{\circ }$then the angles are said to be complementary angles.
2. Complement of any angle can be found by subtracting that angle from ${90}^{\circ }$
3. Acute angles are those which are greater than 0^o but less than ${90}^{\circ }$.
4. Therefore, the only angles that add to ${90}^{\circ }$ are acute angles.

So, here if the acute angles are subtracted from ${90}^{\circ }$ then the resultant angle will also be an acute angle.

Hence, the complement of an acute angle is an acute angle.