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18 – — – (-6) (2 3 – 3) • (-7) 8X – 24 = -96 -3 – 14 -8 • 8 2 2/4 + 1 1/3 6 ¼ ÷ 7 ½. 16. 4. Splash Screen. Classify angles and identify vertical and adjacent angles. Identify complementary and supplementary angles and find missing angle measures. acute angle obtuse angle
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18 – — – (-6) (23 – 3) • (-7) 8X – 24 = -96 -3 – 14 -8 • 8 2 2/4 + 1 1/3 6 ¼ ÷ 7 ½ 16 4
Classify angles and identify vertical and adjacent angles. • Identify complementary and supplementary angles and find missing angle measures. • acute angle • obtuse angle • straight angle • vertical angles • adjacent angles • complementary angles • supplementary angles • angle • degrees • vertex • congruent angles • right angle Main Idea/Vocabulary
Naming Angles Name the angle at the right. • 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 Answer: The angle can be named in four ways: FGH, HGF, G, 2. Example 1
A B C D Which of the following is not a name for the angle below? A. RST B. T C. 3 D. S Example 1
Classify Angles Classify the angle as acute, obtuse, right, or straight. Answer: The angle is exactly 180°, so it is a straight angle. Example 2
A B C D Classify the angle as acute, obtuse, right, or straight. A. acute B. obtuse C. right D. straight Example 2
Classify Angles Classify the angle as acute, obtuse, right, or straight. Answer: The angle is less than 90°, so it is an acute angle. Example 3
A B C D Classify the angle as acute, obtuse, right, or straight. A. acute B. obtuse C. right D. straight Example 3
Since 3 and 5 are opposite angles formed by the intersection of two lines, they are vertical angles. Since 3 and 4 share a common side and vertex and do not overlap, they are adjacent angles. Similarly, 4 and 5 are adjacent angles. Example 4
Answer:3 and 5 are vertical angles. 3 and 4 are adjacent angles. 4 and 5 are adjacent angles. Example 4
A B C D A. B. C. D. For the figure shown, which of the following is true? Example 4
Identify Angles Classify the pair of angles as complementary, supplementary, or neither. 128° + 52° = 180° Answer: The angles are supplementary. Example 1
A B C Classify the pair of angles as complementary, supplementary, or neither. A. complementary B. supplementary C. neither Example 1
Identify Angles Classify the pair of angles as complementary, supplementary, or neither. x and y form a right angle. Answer: So, the angles are complementary. Example 2
A B C Classify the pair of angles as complementary, supplementary, or neither. A. complementary B. supplementary C. neither Example 2
Find a Missing Angle Measure ALGEBRA Angles PQS and RQS are supplementary. If mPQS = 56°, find mRQS. Words The sum of the measures of PQSand RQS is 180°. Variable Let x represent the measure of RQS. Equation56 + x = 180 Example 3
Find a Missing Angle Measure Answer: The measure of RQSis 124°. Example 3
A B C D Angles MNP and KNP are complementary. If mMNP = 23°, find mKNP. A. 22° B. 67° C. 157° D. 337° Example 3
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