1. **State the problem:** We have a triangle with angles measuring 19°, 90°, and 71°. We need to determine the type of triangle based on its angles. 2. **Recall the triangle angle sum rule:** The sum of the interior angles of any triangle is always 180°. 3. **Check the sum:** $$19^\circ + 90^\circ + 71^\circ = 180^\circ$$ This confirms the angles form a valid triangle. 4. **Classify the triangle by angles:** - An **acute triangle** has all angles less than 90°. - A **right triangle** has one angle exactly 90°. - An **obtuse triangle** has one angle greater than 90°. 5. **Analyze the given angles:** - 19° is less than 90° - 90° is exactly 90° - 71° is less than 90° 6. Since one angle is exactly 90°, the triangle is a **right triangle**. **Final answer:** The triangle is a right triangle.