Types Of Angles In Geometry

Examples

Practice Questions:

1. If the hands of a clock are at \(3\) and \(9\), what type of angle do they form?
2. What type of angle is formed when the hands of a clock read 2:30?
3. When you partially open a door, what type of angle is most commonly formed between the door and its frame?

1. The hands form a straight angle of \(180^\circ\).
2. They form an acute angle as the minute hand on 6 and the hour hand is halfway between \(2\) and \(3\), resulting in an angle less than \(90^\circ\).
3. Most commonly, it’s an obtuse angle as doors, when partially open, usually create an angle larger than \(90^\circ\) but less than \(180^\circ\).