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Types of Angles: Naming, Classifying and Finding Missing Measures

Learn how to name, classify, and find missing angle measures using concepts like acute, right, obtuse, and straight angles. Discover vertical and adjacent angles.

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Types of Angles: Naming, Classifying and Finding Missing Measures

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  1. Lesson Menu Main Idea and New Vocabulary Key Concept: Types of Angles Example 1: Name Angles Key Concept: Pairs of Angles Example 2: Real-World Example Example 3: Find a Missing Angle Measure

  2. Classify angles and identify vertical and adjacent angles. • congruent • vertex • acute angle • right angle • obtuse angle • straight angle • vertical angles • adjacent angles Main Idea/Vocabulary

  3. Key Concept

  4. Name Angles Name the angle below in four ways. Then classify it as acute, right, obtuse, or straight. • Use the vertex as the middle letter and a point from each side, FGH or HGF. • Use the vertex only, G. • Use a number, 2. Since the angle is less than 90°, it is an acute angle. Example 1

  5. Name Angles Answer: FGH, HGF, G, 2; acute Example 1

  6. Name the angle below in two ways. Then classify it as acute, right, obtuse, or straight. A.JKL, K; acute B.LKJ, K; right C.JKL, K; obtuse D.LKJ, J; obtuse Example 1 CYP

  7. Key Concept 2

  8. SEWING Identify a pair of vertical angles and adjacent angles in the diagram. Justify your response. Answer: 3 and 5 are vertical angles because they are opposite angles formed by intersecting lines. 4 and 5 are adjacent angles because they share a common side. Example 2

  9. HIKING Identify a pair of vertical angles and adjacent angles in the diagram of the hiking trails. A.vertical: 5 and 7adjacent: 5 and 8 B.vertical: 5 and 8adjacent: 6 and 7 C.vertical: 6 and 7adjacent: 5 and 8 D.vertical: 6 and 7adjacent: 7 and 8 Example 2 CYP

  10. Find a Missing Angle Measure What is the value of y in the figure below? The angle labeled y and the angle labeled 60 are vertical angles. Since vertical angles are congruent, the value of y is 60. Answer: 60° Example 3

  11. What is the value of x in the figure below? A. 14° B. 76° C. 104° D. 180° Example 3 CYP

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