1. The problem asks to identify the types of angles \(\angle MTN\) and \(\angle NTQ\) based on their appearance in the graphs. 2. Recall the definitions of angle types: - An **acute angle** is less than 90 degrees. - A **right angle** is exactly 90 degrees. - An **obtuse angle** is greater than 90 degrees but less than 180 degrees. 3. Observing the first graph near \(MTN\), the angle formed is smaller and appears less than 90 degrees, so \(\angle MTN\) is an **acute angle**. 4. Observing the second graph near \(NTQ\), the angle formed is larger than the first and appears greater than 90 degrees, so \(\angle NTQ\) is an **obtuse angle**. Final answers: - \(\angle MTN\) is an acute angle. - \(\angle NTQ\) is an obtuse angle.