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Question
How many triangles can be drawn having its angles as 45°, 64° and 72°? Give reason for your answer.
Solution
It is given that the triangle has its angles as 45°, 64°, and 72°.
On adding these, we get
Sum of three angles = 45° + 64° + 72°
⇒ Sum of three angles = 181°
The sum of three angles of the triangle should be equal to 180°.
Since, the sum of the given angles exceeds 180°, no such triangle exists with its angles as 45°, 64° and 72°.
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