Answer

Verified

449.4k+ 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

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

How many crores make 10 million class 7 maths CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

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

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths