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 [tex]180^{\circ}[/tex].
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 angle
The bold ones are right on edge 2020
