Under which angle conditions could a triangle exist? Check all that apply.

3 acute angles

2 acute angles, 1 right angle

1 acute angle, 1 right angle, 1 obtuse angle

1 acute angle, 2 obtuse angles

2 acute angles, 1 obtuse angle

3 acute angles

2 acute angles, 1 right angle

2 acute angles, 1 obtuse angle

An acute angle is <90 degrees

a right angle is equal to 90 degrees

an obtuse angle is >90 degrees

Any triangle has angles adding to 180 degrees

therefore three acute angles, eg. 60, 60 and 60 degrees can make up a triangle

2 acute angles and a right angle, say 45 and 45 degrees and 90 degrees make a triangle

any obtuse angle + a right angle will be larger than 180 degrees, so no triangle can exist. another acute angle will make the number of degrees even larger

any 2 obtuse angles will make a number larger than 180 degrees, so with an acute angle is impossible

2 acute and an obtuse angle is possible, say 40, 40 and 100 degrees