Free Math Worksheets

- Compare each angle with a square corner. - A right angle measures \(90^\circ\). - Decide whether each angle is narrower than, equal to, or wider than a right angle.

1. Angle \(\alpha\) is less than \(90^\circ\), so it is acute. 2. Angle \(\beta\) is exactly \(90^\circ\), so it is right. 3. Angle \(\gamma\) is greater than \(90^\circ\) but less than \(180^\circ\), so it is obtuse.

a) \(\alpha\): acute b) \(\beta\): right c) \(\gamma\): obtuse

- Compare each angle with a right angle. - Acute angles are less than \(90^\circ\). - Obtuse angles are greater than \(90^\circ\) but less than \(180^\circ\).

1. Angle \(\alpha\) is smaller than a right angle, so it is acute. 2. Angle \(\beta\) is larger than a right angle but smaller than a straight angle, so it is obtuse. 3. Angle \(\gamma\) is also larger than a right angle but smaller than a straight angle, so it is obtuse.

\(\alpha\): acute \(\beta\): obtuse \(\gamma\): obtuse

- Acute angles are less than \(90^\circ\). - Obtuse angles are between \(90^\circ\) and \(180^\circ\). - Notice which rays form each marked angle.

1. Angle \(1\) is smaller than a right angle, so it is acute. 2. Angle \(2\) is also smaller than a right angle, so it is acute. 3. Angle \(3\) is larger than a right angle but smaller than a straight angle, so it is obtuse.

1. Angle \(3\) is obtuse. 2. Angles \(1\) and \(2\) are acute.

- Compare each angle with a right angle. - Compare the openings of the angles before ordering them. - A right angle measures \(90^\circ\).

1. Angle \(\gamma\) is the narrowest, followed by angle \(\alpha\). Angle \(\delta\) is a right angle, and angle \(\beta\) is slightly wider than a right angle. 2. Therefore, the order is \(\gamma<\alpha<\delta<\beta\). 3. Angles \(\gamma\) and \(\alpha\) are acute, \(\delta\) is right, and \(\beta\) is obtuse.

1. \(\gamma<\alpha<\delta<\beta\) 2. \(\alpha\) and \(\gamma\): acute; \(\delta\): right; \(\beta\): obtuse