3.7k views
3 votes
If one of the exterior angles of a triangle is acute, then the triangle must be

acute
right
obtuse
equiangular

User Derpyderp
by
8.6k points

2 Answers

3 votes

Answer: Third option is correct.

Explanation:

If one of the exterior angles of a triangle is acute then,

By using the rule of "Linear Pair" we can find the interior angle

Let the exterior angle be


80\textdegree

So, its interior angle be


180-80=100\textdegree

So, our triangle become obtuse triangle .

So, we can take any measure of acute angle , always we get an obtuse angle .

Hence, Third option is correct.

User Papa Stahl
by
8.6k points
4 votes
If one of the exterior angles of a triangle is acute, then the related interior angle must be obtuse.
Answer: The triangle must be C ) obtuse.
User HolyMoly
by
8.1k points
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