Question

3] Which of the following statements is true?

a) Two acute angles can be complementary to each other

b) Two obtuse angles can be complementary to each other

c) Two right angles can be complementary to each other

d) One obtuse and one acute angle can be complement to each other​

Answer 1

Answer :

As we know , for two angles to be complementary, their sum must be 90°.

 Two acute angles can be complementary. Since , Acute angles are angles less than 90°. their sum can add upto $90^{0}$.

For example 30° and 60° are acute angles. Their sum is 90°, so they are complement to each other.

hence , option  ' a ' is the correct option.

Answer 2

The correct answer will be option a.

• Complementary angles are those angles which when added give 90° as a result.

        For example, 15° and 75°

• Now, acute angles are those angles that are less than 90°.

       So, the sum of two acute angles can be 90°.

• Obtuse angles are those angles that are more than 90°.

       So, the sum of two obtuse angles will always be greater than 90°.

• Right angles are 90° angles.

• One obtuse and one acute angle will always give a sum more than 90°.