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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
- CSIR NET
- Physical Sciences
If all the angles of a triangle are prime numbers, which of the following could be one such angle ?
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Eduncle Best Answer
If one angle is 89º, the other two possible angles are 2º and 89º. No other angles are possible.
If we take the possible angle as 79º then the sum of other two angles must be 101º. But we can not find any two prime angles whose sum is 101º.
Similarly, if we take the possible angle to be 59º then the sum of other two angles must be 121º. But we can not find any two prime angles whose sum is 121º.
Finally, if we take the possible angle to be 29º, the sum of other two angles must be 151º. Again we cannot find any two prime angles whose sum is 151º.