If one of the exterior angles of a triangle measures less than 90, then which of the following statements is true?

Question

anonymous · Answer

a) the triangle is a right triangle
b) acute triangle
c) obtuse triangle
d) equilateral triangle

zubhanwc3 · Answer

wait, is this one possible to answer o.O cause it can be more than 1. or is it jsut me.

anonymous · Answer

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anonymous · Answer

So, if the exterior angle is less than 90 degrees, that means that angle A is greater than 90 degrees because they both have to add up to 180 degrees.

anonymous · Answer

Given that A is over 90 degrees and a triangle's angles add up to 180 degrees, this means that angles B and C have to share 90 degrees. Therefore it can't be a right triangle since there are two angles left and they can't be 90!

anonymous · Answer

Angles B and C are less than 90 degrees since they must add up to 90 degrees. Therefore,  they are acute angles. Making this triangle one fat obtuse :)

anonymous · Answer

Does this make sense to you? If not, I can explain it better!

anonymous · Answer

Good luck with your future math endeavors.