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प्रश्न
How many triangles can be drawn having its angles as 53°, 64° and 63°? Give reason for your answer.
उत्तर
It is given that the triangle has its angles as 53°, 64° and 63°.
Upon adding these, we get
⇒ Sum of the three angles = 53° + 64° + 63°
⇒ Sum of the three angles = 180° ...(i)
We know, that the sum of all the angles of a triangle is equal to 180°.
Also, from (i), we find out that the sum of the given angles of the triangle is equal to 180°.
Thus, infinite number of triangles can be drawn having angles as 53°, 64° and 63°.
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