To determine the type of triangle based on its angles, we can first check the sum of the angles. A triangle's internal angles must sum to 180°.
Let's add the angles given:
44° + 59° + 77° = 180°
Since the sum is 180°, it is indeed a triangle. Now, we can classify it based on its angles:
- If all angles are less than 90°, it is an acute triangle.
- If one angle is exactly 90°, it is a right triangle.
- If one angle is greater than 90°, it is an obtuse triangle.
In this case:
- 44° is less than 90°,
- 59° is less than 90°,
- 77° is less than 90°.
Since all angles are less than 90°, this triangle is an acute triangle.