1. The problem asks us to determine the truth value of three statements about the angles of a triangle: - One of the three angles of a triangle is 90° - One of the three angles of a triangle is obtuse - One of the three angles of a triangle is reflex 2. Recall the properties of triangle angles: - The sum of the three interior angles of any triangle is always 180°. - An angle of 90° is called a right angle. - An obtuse angle is greater than 90° but less than 180°. - A reflex angle is greater than 180°. 3. Analyze each statement: **Statement 1: One of the three angles of a triangle is 90°** - This is not always true because triangles can be acute (all angles less than 90°) or obtuse (one angle greater than 90°). - It is sometimes true if the triangle is a right triangle. **Statement 2: One of the three angles of a triangle is obtuse** - This is not always true because triangles can be acute or right. - It is sometimes true if the triangle is obtuse. **Statement 3: One of the three angles of a triangle is reflex** - This is never true because the sum of all angles is 180°, so no single angle can be greater than 180°. 4. Final answers: - "One of the three angles of a triangle is 90°" is **Sometimes true**. - "One of the three angles of a triangle is obtuse" is **Sometimes true**. - "One of the three angles of a triangle is reflex" is **Never true**. This completes the analysis of the truth values for the given statements about triangle angles.