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in Lines and Angles by (47.3k points)
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How many triangles can be drawn having its angles as 45°, 64° and 72°? Give reason for your answer.

1 Answer

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Best answer

No triangle can be drawn having its angles 45°, 64° and 72°.

Justification:

According to angle sum property,

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

But, according to the question,

We have the angles 45°, 64° and 72°.

Sum of these angles = 45° + 64° + 72°

= 181°, which is greater than 180°.

Hence, the angles do not satisfy the angle sum property of a triangle.

Therefore, no triangle can be drawn having its angles 45°, 64° and 72°.

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