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Q.

An exterior angle of a triangle is equal to the two ____ opposite angles.


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Detailed Solution

An exterior angle of a triangle is equal to the two interior opposite angles.
Consider a triangle,
Question ImageExterior angle property states that if a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
Using exterior angle property,
The side BC is extended,
The exterior angle formed will be the sum of the two opposite interior angles.
∠ACD=∠BAC+∠CBA  
Therefore, an exterior angle of a triangle is equal to the 2 interior opposite angles.
 
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