Answer:
Step-by-step explanation:
To determine the type of triangle based on its angles, let's analyze the given angles: 25°, 10°, and 145°.
The sum of the interior angles of any triangle is always 180°. Therefore, let's calculate the sum of the given angles:
\[ 25^\circ + 10^\circ + 145^\circ = 180^\circ \]
Since the sum of the angles is exactly 180°, this confirms that the given angles form a triangle.
Next, let's classify the triangle based on the measures of its angles:
1. **Acute Triangle**: All angles are less than 90°.
2. **Right Triangle**: One angle is exactly 90°.
3. **Obtuse Triangle**: One angle is greater than 90°.
Given the angles:
- 25° and 10° are acute angles (less than 90°).
- 145° is obtuse (greater than 90°).
Therefore, based on the classification by angles:
- The triangle with angles 25°, 10°, and 145° is an **obtuse triangle** because it contains one angle greater than 90° (145°).
So, the type of triangle with angles 25°, 10°, and 145° is an **obtuse triangle**.
Hope this helps a bit, i suck a math XP
