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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

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

• acute angle

• obtuse angle

• straight angle

• vertical angles

• complementary angles

• supplementary angles

• angle

• degrees

• vertex

• congruent angles

• right angle

Main Idea/Vocabulary

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

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

Answer: The angle is exactly 180°, so it is a straight angle.

Example 2

B

C

D

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

A. acute

B. obtuse

C. right

D. straight

Example 2

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

Answer: The angle is less than 90°, so it is an acute angle.

Example 3

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

B

C

D

A.

B.

C.

D.

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

Example 4

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

128° + 52° = 180°

Example 1

B

C

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

A. complementary

B. supplementary

C. neither

Example 1

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

B

C

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

A. complementary

B. supplementary

C. neither

Example 2

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

Answer: The measure of RQSis 124°.

Example 3

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