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Question

How many triangles can be drawn having its angles as 53°,64° and 63°? Give reason for your answer.


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Solution

Evaluate the number of triangles that can be formed based on given information:

According to the angle sum property of a triangle, the sum of the interior angles of a triangle must be 180°

The sum of the given angles =53°+64°+63°=180°

As the given angles satisfy the angle sum property of a triangle, infinitely many triangles can be drawn with the given angles.

Hence, infinitely many triangles can be drawn with the given angles.


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