Question

Can two obtuse angles be supplementary?

Answer 1

Two obtuse angles can never be supplementary. This is explained as follows :-

Let X be the one angle and Y be other.

Supplementary angles means two angles whose sum is 180 degree.

We know that obtuse angle is more than 90 degree. i.e. 90 < X

Now sum of two obtuse angle,

90<X + 90< Y = 180 < X +Y

Hence, sum of X and Y is more than 180.

For supplementary angle one must be obtuse while other be acute or both should be right angles.

Answer 2

Answer:

no

Step-by-step explanation:

No, two obtuse angles cannot be complementary to each other. The definition of complementary angles is as follows: Two angles are complementary if sum if angle is 90

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