Can two angles of a kite be as follows?

Mathematics
Tutor: None Selected Time limit: 1 Day

Consecutive and obtuse

Aug 14th, 2015

Thank you for the opportunity to help you with your question!

No, because a kite always has two opposite angles that are congruent. These angles are either acute or obtuse. If they are acute, then the other angles must be obtuse. If they are obtuse, then the other angles must be acute. The reason is that all four angles must add up to 360 degrees.

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Aug 14th, 2015

Sorry, I take that back. There is ONE possible way it can happen. If the kite has a very long bottom with a sharp angle at the end THEN you could have the opposite side angles obtuse AND the top angle also obtuse. The side angles and the top angle would be consecutive and obtuse.

Aug 14th, 2015

You can also prove it mathematically because you can have, for instance 3 obtuse angles that are 100 degrees each, and one that is 60 degrees and it would still be a kite. The four angles add up to 360 degrees which they must because a kite is a 4 sided figure.

Aug 14th, 2015

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