1.

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

Answer»

Infinitely many triangles can be drawn having its angles as 53°, 64° and 63°.

Justification:

According to angle sum property,

We know that the sum of all the interior angles of a triangle should be = 180°.

According to the question,

We have the angles 53°, 64°, and 63°.

Sum of these angles = 53° + 64° + 63°

= 180°

Hence, the angles satisfy the angle sum property of a triangle.

Therefore, infinitely many triangles can be drawn having its angles as 53°, 64° and 63°.



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