In Exercises 1–6, the measure of an angle is given. Classify the angle as acute, right, obtuse, or straight. 135°

Verified step by step guidance

1. Recall the definitions of angle classifications: an acute angle is between 0° and 90°, a right angle is exactly 90°, an obtuse angle is between 90° and 180°, and a straight angle is exactly 180°.
2. Look at the given angle measure, which is 135°.
3. Compare 135° to the ranges defined: since 135° is greater than 90° but less than 180°, it falls into the obtuse angle category.
4. Therefore, classify the angle 135° as an obtuse angle based on the comparison.
5. Summarize: 135° is an obtuse angle because it lies between 90° and 180°.

Key Concepts

Angle Measurement in Degrees

Angles are measured in degrees, representing the amount of rotation from one ray to another around a common vertex. A full circle is 360°, a straight angle is 180°, and smaller angles are fractions of this rotation.

Classification of Angles

Angles are classified based on their measure: acute angles are less than 90°, right angles are exactly 90°, obtuse angles are greater than 90° but less than 180°, and straight angles are exactly 180°.

Comparing Angle Measures

To classify an angle, compare its degree measure to the standard angle categories. For example, 135° is greater than 90° but less than 180°, so it is classified as an obtuse angle.