The sum of the three angles in a triangle is always equal to .

Also we have:

– An acute angle is an angle measuring less that 90 degrees

– A right angle is an angle measuring exactly 90 degrees

– An obtuse angle is an angle measuring more than 90 degrees

Let’s now analyze the different statements:

– 3 acute angles –> this is possible, since all the three angles measure less than 90 degrees, their sum can still be 180.

– 2 acute angles, 1 right angle –> also possible: one angle measures 90 degrees, while the other two together have a sum of 90, so they should be both acute

– 1 acute angle, 1 right angle, 1 obtuse angle
–> not possible: the right angle is 90 degrees, the obtuse angle is more than 90 degrees, so their sum is already larger than 180

– 1 acute angle, 2 obtuse angles –> not possible: the sum of 2 obtuse angles is more than 180 degrees

– 2 acute angles, 1 obtuse angle –> possible: the obtuse angle is more than 90 degrees, while the two acute angles are less than 90, so they can add together to form 180 degrees

## Answers ( )

Answer:3 acute angles

2 acute angles, 1 right angle

2 acute angles, 1 obtuse angle

Step-by-step explanation:The sum of the three angles in a triangle is always equal to .

Also we have:

– An acute angle is an angle measuring less that 90 degrees

– A right angle is an angle measuring exactly 90 degrees

– An obtuse angle is an angle measuring more than 90 degrees

Let’s now analyze the different statements:

– 3 acute angles –> this is possible, since all the three angles measure less than 90 degrees, their sum can still be 180.

– 2 acute angles, 1 right angle –> also possible: one angle measures 90 degrees, while the other two together have a sum of 90, so they should be both acute

– 1 acute angle, 1 right angle, 1 obtuse angle

–> not possible: the right angle is 90 degrees, the obtuse angle is more than 90 degrees, so their sum is already larger than 180

– 1 acute angle, 2 obtuse angles –> not possible: the sum of 2 obtuse angles is more than 180 degrees

– 2 acute angles, 1 obtuse angle –> possible: the obtuse angle is more than 90 degrees, while the two acute angles are less than 90, so they can add together to form 180 degrees

Answer: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 angleThe bold ones are right on edge 2020