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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 - PowerPoint PPT Presentation


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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



Main idea vocabulary

  • acute angle

  • obtuse angle

  • straight angle

  • vertical angles

  • adjacent angles

  • complementary angles

  • supplementary angles

  • angle

  • degrees

  • vertex

  • congruent angles

  • right angle

Main Idea/Vocabulary


Example 1

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


Example 11

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



Example 2

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


Example 21

A

B

C

D

Classify the angle as acute, obtuse, right, or straight.

A. acute

B. obtuse

C. right

D. straight

Example 2


Example 3

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


Example 31

A

B

C

D

Classify the angle as acute, obtuse, right, or straight.

A. acute

B. obtuse

C. right

D. straight

Example 3



Example 4

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


Example 41

Answer:3 and 5 are vertical angles. 3 and 4 are adjacent angles. 4 and 5 are adjacent angles.

Example 4


Example 42

A

B

C

D

A.

B.

C.

D.

For the figure shown, which of the following is true?

Example 4



Example 12

Identify Angles

Classify the pair of angles as complementary, supplementary, or neither.

128° + 52° = 180°

Answer: The angles are supplementary.

Example 1


Example 13

A

B

C

Classify the pair of angles as complementary, supplementary, or neither.

A. complementary

B. supplementary

C. neither

Example 1


Example 22

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


Example 23

A

B

C

Classify the pair of angles as complementary, supplementary, or neither.

A. complementary

B. supplementary

C. neither

Example 2


Example 32

Find a Missing Angle Measure

ALGEBRA Angles PQS and RQS are supplementary. If mPQS = 56°, find mRQS.

Words The sum of the measures of PQSand RQS is 180°.

Variable Let x represent the measure of RQS.

Equation56 + x = 180

Example 3


Example 33

Find a Missing Angle Measure

Answer: The measure of RQSis 124°.

Example 3


Example 34

A

B

C

D

Angles MNP and KNP are complementary. If mMNP = 23°, find mKNP.

A. 22°

B. 67°

C. 157°

D. 337°

Example 3


End of the lesson

End of the Lesson

End of the Lesson


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