Question

Find the complement of the angles represented in the given figure.

Answer 1

Hint:-Before solving this question, we must be familiar with the term Complementary Angles.
COMPLEMENTARY ANGLES: Complementary Angles are the angles that sum up to make an angle of 90°, i.e. a right angle.Here, in this question, we need to find the complement of an angle of 20°. That means that we need to find an angle that, when added to 20°, gives an angle of 90°.


Complete step-by-step answer:
We know that the sum of the angle we need to find and 20° must be 90°.
Let the complementary angle of 20° be ‘x’.
Therefore, (x) + 20° = 90°
x + 20° = 90°
x = 90° - 20°
x = 70°
Therefore, the complementary angle of 20° is 70°.
So, the answer to the question is 70°.

Note:- Supplementary Angles are the angles that sum up to make an angle of 180°, i.e. a straight angle. For example, 120° and 60° are supplementary angles, 150° and 30° are examples of supplementary angles . Complementary Angles are the angles that sum up to make an angle of 90°, i.e. a right angle.Students should not be confused with Complementary and supplementary angles.