If triangle LMN has an obtuse angle at vertex M, which statements could be true? Check all that apply.Triangle LMN is an obtuse triangle.The angle at vertex L is acute.The angle at vertex L is right.The angle at vertex N is right. The angle at vertex N is acute.Triangle LMN is a right triangle.
Answer
A
Triangle LMN is an obtuse triangle.
B
The angle at vertex L is acute.
C
The angle at vertex L is right.
D
The angle at vertex N is right.
E
The angle at vertex N is acute.
F
Triangle LMN is a right triangle.
Explanation
An obtuse angle at M is greater than 90°, so the angles at L and N must add up to less than 90° because a triangle’s angles total 180°. Both L and N are therefore acute. The triangle is obtuse, not right, so the statements that it is obtuse and that L and N are acute could be true.
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