Which of the following is a reflex angle?
A) ${{180}^{o}}$
B) ${{360}^{o}}$
C) ${{204}^{o}}$
D) ${{135}^{o}}$
Last updated date: 16th Mar 2023
•
Total views: 304.8k
•
Views today: 5.84k
Answer
304.8k+ views
Hint: The given question is related to types of angles. Try to recall the various types of angles, their definition, and their examples.
Complete step-by-step answer:
In mathematics, an angle is defined as the measure of inclination of one line (or line segment) on another line (or line segment). Based on the measure of the angle, angles are classified into six types:
A) Acute angle
B) Right angle
C) Obtuse angle
D) Straight angle
E) Reflex angle
F) Complete angle (or Full angle)
Acute angle: Any angle whose measure is more than ${{0}^{o}}$ and less than ${{90}^{o}}$ is called an acute angle.
Right angle: The angle whose measure is exactly ${{90}^{o}}$ is called a right angle.
Obtuse angle: Any angle whose measure is more than ${{90}^{o}}$ and less than ${{180}^{o}}$ is called an obtuse angle.
Straight angle: The angle whose measure is exactly ${{180}^{o}}$ is called a straight angle.
Reflex angle: Any angle whose measure is more than ${{180}^{o}}$ and less than ${{360}^{o}}$ is called a reflex angle.
Complete angle: The angle whose measure is exactly ${{360}^{o}}$ is called a complete angle.
The figure of a reflex angle is shown below:
The measure of the angle in the figure is equal to ${{244}^{o}}$ , which lies between ${{180}^{o}}$ and ${{360}^{o}}$ . Hence, it is a reflex angle.
Now, coming to the question, we need to find the reflex angle among the given options. We can see that in the given options, option C. ${{204}^{o}}$ lies between ${{180}^{o}}$ and ${{360}^{o}}$ . Hence, it is a reflex angle.
So, option C is the correct answer.
Note: Students are generally confused between obtuse angles and reflex angles. Obtuse angles are those angles whose measure is more than ${{90}^{o}}$ and less than ${{180}^{o}}$, whereas, reflex angles are those angles whose measure is more than ${{180}^{o}}$ and less than ${{360}^{o}}$. Such confusion should be avoided.
Complete step-by-step answer:
In mathematics, an angle is defined as the measure of inclination of one line (or line segment) on another line (or line segment). Based on the measure of the angle, angles are classified into six types:
A) Acute angle
B) Right angle
C) Obtuse angle
D) Straight angle
E) Reflex angle
F) Complete angle (or Full angle)
Acute angle: Any angle whose measure is more than ${{0}^{o}}$ and less than ${{90}^{o}}$ is called an acute angle.
Right angle: The angle whose measure is exactly ${{90}^{o}}$ is called a right angle.
Obtuse angle: Any angle whose measure is more than ${{90}^{o}}$ and less than ${{180}^{o}}$ is called an obtuse angle.
Straight angle: The angle whose measure is exactly ${{180}^{o}}$ is called a straight angle.
Reflex angle: Any angle whose measure is more than ${{180}^{o}}$ and less than ${{360}^{o}}$ is called a reflex angle.
Complete angle: The angle whose measure is exactly ${{360}^{o}}$ is called a complete angle.
The figure of a reflex angle is shown below:

The measure of the angle in the figure is equal to ${{244}^{o}}$ , which lies between ${{180}^{o}}$ and ${{360}^{o}}$ . Hence, it is a reflex angle.
Now, coming to the question, we need to find the reflex angle among the given options. We can see that in the given options, option C. ${{204}^{o}}$ lies between ${{180}^{o}}$ and ${{360}^{o}}$ . Hence, it is a reflex angle.
So, option C is the correct answer.
Note: Students are generally confused between obtuse angles and reflex angles. Obtuse angles are those angles whose measure is more than ${{90}^{o}}$ and less than ${{180}^{o}}$, whereas, reflex angles are those angles whose measure is more than ${{180}^{o}}$ and less than ${{360}^{o}}$. Such confusion should be avoided.
Recently Updated Pages
If a spring has a period T and is cut into the n equal class 11 physics CBSE

A planet moves around the sun in nearly circular orbit class 11 physics CBSE

In any triangle AB2 BC4 CA3 and D is the midpoint of class 11 maths JEE_Main

In a Delta ABC 2asin dfracAB+C2 is equal to IIT Screening class 11 maths JEE_Main

If in aDelta ABCangle A 45circ angle C 60circ then class 11 maths JEE_Main

If in a triangle rmABC side a sqrt 3 + 1rmcm and angle class 11 maths JEE_Main

Trending doubts
Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write a letter to the principal requesting him to grant class 10 english CBSE

List out three methods of soil conservation

Epipetalous and syngenesious stamens occur in aSolanaceae class 11 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

A Short Paragraph on our Country India
