Which of the following can not be a measure of an angle of a cyclic quadrilateral?

  1. 90° 
  2. 150° 
  3. 170° 
  4. 180° 

Answer (Detailed Solution Below)

Option 4 : 180° 
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Detailed Solution

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Concept Used:

The angles of a cyclic quadrilateral are Supplementary. 

Calculation:

The sum of measures of opposite angles = 180° 

⇒ The sum of two angles is 180° 

⇒ Every angle of a cyclic quadrilateral need to be less than 180° 

∴ One angle of a cyclic quadrilateral cannot be 180°.  

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