Question

What is the range of reflex angles?
a. Greater than zero but less than 90˚
b. Greater than 90˚ but less than 180˚
c. Greater than 180˚ but less than 360˚
d. Equal to 360˚

Answer 1

Hint: In order to solve this question, we should know about the types of angles and their definition which will help us to choose the correct answer, like if the angle is less than 90˚ but greater than 0˚, then the angle is known as acute angle and so on.

Complete step-by-step answer:
In this question, we have been asked to choose the correct range of reflex angle. To solve this question, we will start with the types of angles. So, there are 6 types of angles, which are, acute angle, right angle, obtuse angle, straight angle, reflex angle and full angle.
Now, we will consider each option one by one and check what type of angle they form.
So, let us consider option (a) that is greater than zero but less than 90˚.

We can say that this angle looks something like an acute angle as it has a range same as that of an acute angle. So, this is probably not the correct answer.
Now, let us consider option (b) that is greater than 90˚ but less than 180˚.

We can say that this angle has the same range of angle as the obtuse angle. So, this is a wrong answer.
Now, let us consider option (c) that is greater than 180˚ but less than 360˚.

We can say that this angle lies within the range of reflex angle, that is, greater than 180˚ but less than 360˚. So, option (c) is the correct answer.
Now, let us consider option (d) that is equal to 360˚.

This angle is the same as a full angle. So, this option is not the correct answer.
From the above observations, we can say that option (c) is the correct answer.


Note: We can directly choose the correct answer by considering the range of each type of angle, that acute angle lies between (0˚, 90 ˚), obtuse angle lies between (90˚, 180˚), right angle is 90˚, straight angle is 180˚, reflex angle lies between (180˚, 360˚) and full angle is 360˚. And from the above observations, we can say that option (c) will be the correct answer.