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Question

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Can two obtuse angles be complement to each other?

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Solution

We know, obtuse angle is the angle which is greater than 90o and less than 180o.
Two obtuse angles can never be complementary to each other since obtuse angles are itself greater than 90 degrees, so the sum of two such angles will always yield a number greater than 180 degrees.

E.g.: Let us suppose two obtuse angles are 100o & 110o.
Here, the sum of these two obtuse angles will give us 210o.
Since, for being complementary, sum should be equal to 90o,
we can say that no pairs of obtuse angles are complementary.
Hence, the statement is false and 0 is the answer.

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