Sec 1-4 Concepts: Classifying Angles Objectives: Given an angle, name, measure and classify it as...

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Sec 1-4 Concepts: Classifying Angles Objectives: Given an angle, name, measure and classify it as measured by a s.g.

Transcript of Sec 1-4 Concepts: Classifying Angles Objectives: Given an angle, name, measure and classify it as...

Page 1: Sec 1-4 Concepts: Classifying Angles Objectives: Given an angle, name, measure and classify it as measured by a s.g.

Sec 1-4

Concepts: Classifying Angles

Objectives: Given an angle, name, measure and classify it as measured by a s.g.

Page 2: Sec 1-4 Concepts: Classifying Angles Objectives: Given an angle, name, measure and classify it as measured by a s.g.

Example 1: Name the <‘s in the figure

H

O G

S1

2

<HOS <SOH

<1 <SOG

<GOS <2

<HOG <GOH

Page 3: Sec 1-4 Concepts: Classifying Angles Objectives: Given an angle, name, measure and classify it as measured by a s.g.

Classify the angle with the given measure as acute, obtuse, right or straight.

m<T = 90 m<Y = 32

m<X = 180 m<A = 160

right acute

straight obtuse

Page 4: Sec 1-4 Concepts: Classifying Angles Objectives: Given an angle, name, measure and classify it as measured by a s.g.

Use a protractor to measure the angle. Then classify it.

1. 2.

101

131

Page 5: Sec 1-4 Concepts: Classifying Angles Objectives: Given an angle, name, measure and classify it as measured by a s.g.

Example 3: Find the indicated angle measure

120

60a

b ce

d

fg15

Page 6: Sec 1-4 Concepts: Classifying Angles Objectives: Given an angle, name, measure and classify it as measured by a s.g.

Example 4: For each city on the polar map, estimate the measure of <BOA where B is on the Prime Meridian (0 ۫ Longitude), O is the North Pole and A is the City

Clyde River, Canada Fairbanks Alaska Old Crow Canada

Reytjavik Iceland Angmagssalik GreenlandTuktoyaktuk, Cananda

About 69 About 148 About 140

About 21 About 38 About 133

Page 7: Sec 1-4 Concepts: Classifying Angles Objectives: Given an angle, name, measure and classify it as measured by a s.g.

Angle Addition Postulate

If P is in the interior of <RST,

then m<RSP +m<PST = m<RST

R

S

P

T

50°60°

Example 5:Find the m<RST

50 + 60 = 110°

Page 8: Sec 1-4 Concepts: Classifying Angles Objectives: Given an angle, name, measure and classify it as measured by a s.g.

Example 6: Use the angle addition postulate to solve for x. Then find the measure of each angle.

O

P

R

Q (X+4) + (2x-2) = 26

3x+2=26

3x=24

X=8m<POQ = 8+4 = 12

m<QOR = 2(8)-2= 14

m<POR = 26

A.

Page 9: Sec 1-4 Concepts: Classifying Angles Objectives: Given an angle, name, measure and classify it as measured by a s.g.

Example 6 cont.: Use the angle addition postulate to solve for x. Then find the measure of each angle.

O

P

R

Q (3X+7) + (5x-2) = 61

8x+5=56

8x=56

X=7m<POQ = 3(7)+7 = 28

m<QOR = 5(7)-2=33

m<POR = 61

B.

Page 10: Sec 1-4 Concepts: Classifying Angles Objectives: Given an angle, name, measure and classify it as measured by a s.g.

Example 7: JK bisects < HJL. Given that m<HJL=42°, what are the measures of <HJK and <KJL?

H

J

L

K42 m<HJK and

m<KJL must each be half of 42.

m<HJK and m<KJL = 21

Page 11: Sec 1-4 Concepts: Classifying Angles Objectives: Given an angle, name, measure and classify it as measured by a s.g.

Example 8: BD bisects <ABC. Find the value of x.

C

A

B

D(5x+5)

(6x-2)

Since BD bisects <ABC, then m<ABD = m<BDC

5x+5 = 6x-2

-5x -5x

5=x-2

+2 +2

7=x

Page 12: Sec 1-4 Concepts: Classifying Angles Objectives: Given an angle, name, measure and classify it as measured by a s.g.

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