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. Identify the range of degrees for each type of angle: acute (0° to 90°), right (90°), obtuse (90° to 180°), and straight (180°).
2. Compare the given angle, 135°, to these ranges.
3. Determine that 135° is greater than 90° but less than 180°.
4. Conclude that an angle measuring 135° falls within the range of an obtuse angle.
5. Classify the angle as obtuse based on its measurement.

Key Concepts

Types of Angles

Angles can be classified into four main types based on their measures: acute angles (less than 90°), right angles (exactly 90°), obtuse angles (greater than 90° but less than 180°), and straight angles (exactly 180°). Understanding these classifications is essential for determining the nature of any given angle.

Angle Measurement

Angles are measured in degrees, with a full rotation around a point equating to 360°. The measurement of an angle helps in identifying its classification. For example, an angle measuring 135° is greater than 90° but less than 180°, indicating it is obtuse.

Visual Representation of Angles

Visualizing angles can aid in their classification. Drawing angles on a coordinate plane or using protractors can help students see the differences between acute, right, obtuse, and straight angles. This visual understanding reinforces the theoretical definitions and classifications.