Question

Can two angles be complementary if both of them are:
a.)acute
b.)obtuse
c.)right
Explain it if you can't explain in phone you can do on a paper and click a photo and send but the photo should be clear. OK!

Answer 1

can two angles be complementary if both of them are right

Answer 2

Two angles can be complementary if and only both of them are ACUTE ANGLES.


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As we know, two angles are complementary if their sum is 90 degree.


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Considering (a.) if both the angles are acute, then there is a fair chance that they are complementary.

But when those angles are OBTUSE ANGLES then it would be impossible that their sum is 90 degree because they are already greater than 90 degree.

If any of them is of 90 degree, then also their sum is above 90, and hence they can not be complementary.


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