Question

Which of the following is a reflex angle?
(A) \[180{}^\circ \]
(B) \[360{}^\circ \]
(C) \[204{}^\circ \]
(D) \[135{}^\circ \]

Answer 1

Hint: We are given four angles and we have to pick the reflex angle. We know the basic definition of reflex angle is that a reflex angle is an angle which is more than \[180{}^\circ \] and less than \[360{}^\circ \]. Use this definition and pick the angle which is the reflex angle.

Complete step by step answer:
According to the question, we are given four options and each option is containing one angle. We are asked to pick the reflex angle out of those four options given.
First of all, we require the basic definition of a reflex angle.
We know the basic definition of reflex angle that is a reflex angle is an angle which is more than \[180{}^\circ \] and less than \[360{}^\circ \] …………………………………(1)
Now, let us check the options given.
In option (A), we have \[180{}^\circ \] .

Using the basic definition shown in equation (1), we can say that \[180{}^\circ \] is not the reflex angle.
In option (B), we have \[360{}^\circ \] .

Using the basic definition shown in equation (1), we can say that \[360{}^\circ \] is not the reflex angle.
In option (C), we have \[204{}^\circ \] and we can observe that \[204{}^\circ \] is greater than \[180{}^\circ \] and less than \[360{}^\circ \] . So, using equation (1), we can say that option \[204{}^\circ \] is a reflex angle.

In option (D), we have \[135{}^\circ \] .

Using the basic definition shown in equation (1), we can say that \[135{}^\circ \] is not the reflex angle.
Out of four given angles, only \[204{}^\circ \] is a reflex angle.
Therefore, the correct option is (C).

Note:
 When the measurement of an angle is equal to \[180{}^\circ \] then it is a straight line. When the measurement of an angle is equal to \[360{}^\circ \] then it is the complete angle. When the measurement of an angle is greater than \[90{}^\circ \] but less than \[180{}^\circ \] then it is an obtuse angle.