Question

An angle whose measure is greater than \[{{180}^{0}}\]and less than \[{{360}^{0}}\]is known as:
A. Obtuse angle
B. Right angle
C. Reflex angle
D. Complete angle

Answer 1

Hint: In the given question, we have been asked a type of angle whose measure is greater than \[{{180}^{0}}\] and less than \[{{360}^{0}}\]. The formation of an angle takes place when two rays meet at a common point. Thus the angles are formed due to the intersection of two rays. The two rays are known as sides and the meeting point where the angle is formed is known as vertex.

Formula used:
A measure of an acute angle = \[{{360}^{\circ }} - \text{measure of reflex angle}\]

Complete step by step solution:
An angle whose measure is greater than \[{{180}^{\circ }}\] and less than \[{{360}^{\circ }}\] is known as reflex angle.

The reflex angle can be calculated if the measure of the acute angle is given, as it is complementary to the acute angle on the other side of the line.
Using the reflex angle, we can also find the measure of an acute angle.
A measure of an acute angle \[= {{360}^{\circ }} - \text{measure of reflex angle}\]

Hence, the option (C) is the correct answer.

Note: Students need to know about all the types of angles.
There are other types of angles as well;
Zero angle:
When an angle is of 0 degrees, it is called a zero angle.
Acute angle:
When the measure of an angle is less than 90 degrees, it is known as acute angle.
Obtuse angle:
When the angle is greater than 90 degree but less than 180 degrees, they are termed as obtuse angle.
Right angle:
An angle which is of measure of 90 degrees is known as right angle.
Straight angle:
An angle of measure 180 degrees and making a straight line, it is called straight angle.
Complete angle:
An angle of measure 360 degrees is known as complete angle.