Complete the statement.
Angle ……... is a reflex angle.
Answer
614.1k+ views
Hint: We need to look into the definitions of different angles to fill the blank with the correct name of the angle. The classification of an angle depends on its measure with respect to a standard angle like ${90^ \circ }$, $180^\circ $etc.
Complete step by step solution:
Now, starting with the first angle A given to us, we can see the angle is greater than ${90^ \circ }$but less than$180^\circ $.
The angles which are greater than ${90^ \circ }$but less than$180^\circ $, are called Obtuse angles.
Now, for the second angle B given to us, as we can see the angle is less than ${90^ \circ }$.
The angles which are lesser than ${90^ \circ }$ are called Acute angles.
For the third angle C given to us, as we can see the angle is greater than $180^\circ $but less than $360^\circ $.
The angles which are greater than $180^\circ $but less than $360^\circ $are called Reflex angles.
For, the fourth angle D given to us, as we can see the angle is equal to ${90^ \circ }$
The angles which are equal to ${90^ \circ }$ are called Right angles.
Hence, the correct answer is angle C.
Note: If the thorough understanding of angles is not there then the blank cannot be filled with the correct word. While identifying the angles we move anti-clockwise from $0^\circ $ to $360^\circ $ . So we start moving from $0^\circ $ to $90^\circ $ , then from $90^\circ $ to ${180^\circ }$ , then from ${180^\circ }$ to $270^\circ $ and $270^\circ $ to $360^\circ $ thereby completing one complete angle of$360^\circ $.
Complete step by step solution:
Now, starting with the first angle A given to us, we can see the angle is greater than ${90^ \circ }$but less than$180^\circ $.
The angles which are greater than ${90^ \circ }$but less than$180^\circ $, are called Obtuse angles.
Now, for the second angle B given to us, as we can see the angle is less than ${90^ \circ }$.
The angles which are lesser than ${90^ \circ }$ are called Acute angles.
For the third angle C given to us, as we can see the angle is greater than $180^\circ $but less than $360^\circ $.
The angles which are greater than $180^\circ $but less than $360^\circ $are called Reflex angles.
For, the fourth angle D given to us, as we can see the angle is equal to ${90^ \circ }$
The angles which are equal to ${90^ \circ }$ are called Right angles.
Hence, the correct answer is angle C.
Note: If the thorough understanding of angles is not there then the blank cannot be filled with the correct word. While identifying the angles we move anti-clockwise from $0^\circ $ to $360^\circ $ . So we start moving from $0^\circ $ to $90^\circ $ , then from $90^\circ $ to ${180^\circ }$ , then from ${180^\circ }$ to $270^\circ $ and $270^\circ $ to $360^\circ $ thereby completing one complete angle of$360^\circ $.
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