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Main Idea and New Vocabulary
NGSSS
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
Five-Minute Check
• Classify angles and identify vertical and adjacent angles.
• congruent
• vertex
• acute angle
• right angle
• obtuse angle
• straight angle
• vertical angles
• adjacent angles
MA.8.G.2.2 Classify and determine the measure of angles, including angles created when parallel lines are cut by transversals.
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.
A. JKL, K; acute
B. LKJ, K; right
C. JKL, K; obtuse
D. LKJ, J; obtuse
Name the angle below in two ways. Then classify it as acute, right, obtuse, or straight.
SEWING Identify a pair of vertical angles and adjacent angles in the diagram. Justify your response.
Answer: 3 and 5 are vertical angles becausethey are opposite angles formed byintersecting lines.
4 and 5 are adjacent angles becausethey share a common side.
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
HIKING Identify a pair of vertical angles and adjacent angles in the diagram of the hiking trails.
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°
A. 14°
B. 76°
C. 104°
D. 180°
What is the value of x in the figure below?
A. acute
B. right
C. obtuse
D. straight
Classify the angle as acute, right, obtuse, or straight.
A. acute
B. right
C. obtuse
D. straight
Classify the angle as acute, right, obtuse, or straight.
A. acute
B. right
C. obtuse
D. straight
Classify the angle as acute, right, obtuse, or straight.
A. 1 and 2
B. 1 and 3
C. 2 and 3
D. 1 and 4
Identify a pair of vertical angles.
A. true
B. false
Tell whether the following statement is true or false. A straight angle has a measure of 180°.
A. 1 and 3
B. 2 and 3
C. 2 and 4
D. none of the above
Which of the angles shown in the diagram are adjacent?