Question

Find out the complement of the following angles:

Answer 1

Hint: An angle is the measure of the amount of turn between two rays/lines that intersect at a common point. This common is called the vertex and the two rays are called arms. It is measured in degrees. To find the complement of an angle you must know what complementary angles are.

Complete step-by-step answer:
Types of angles:
A.Acute angle – When the angle lies between 0 to 90°, the angle is called an acute angle. For example, an angle of 45 degrees is an acute angle.
Right angle – An angle of measure 90° is called a right angle.
B.Obtuse angle – When an angle lies between 90 to 120°, the angle is called an obtuse angle. For example, an angle of 125° is an obtuse angle.
C.Straight angle – An angle of measure 180° is called a straight angle.
D.Reflex angle – When an angle lies between 180 to 270°, the angle is called a reflex angle. For example, an angle of measure 220° is a reflex angle.
E.Full rotation – An angle of measure 360° is called a full rotation.
The set of two angles whose sum is equal to 90° are called complementary angles.
$\Rightarrow$ The complement of 63° = (90-63)°=27°
Hence, the complement of 63° is 27°.
So, the correct answer is “ 27°”.

Note: When we move in a counterclockwise direction, a positive value of angle is measured. While when we move in a clockwise direction, the value comes out to be negative. The complementary angles don’t have to be next to each other as long as their sum is 90 degrees.