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1.4. Angles and Their Measures. Vocabulary Review:. B. ∠ABC. A. C. B. A. C. B. Adjacent Angles. Two angles that share a common vertex and side but have no common interior points. Name the A djacent Angles Congruent Angles: Angles that have the same degree measure.

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1.4

Angles and Their Measures


Vocabulary review
Vocabulary Review:

B

∠ABC

A

C

B

A

C

B


Adjacent angles
Adjacent Angles

  • Two angles that share a common vertex and side but have no common interior points.

    Name the Adjacent Angles

  • Congruent Angles:

    • Angles that have the same degree measure



Example 1 name the angles in the figure
Example 1: Name the angles in the figure

M

N

O

P

∠PNM

∠MNP

∠PNO

∠ONP

∠MNO

∠ONM


Example 2) Name the angles in the figure.

D

C

F

E

∠CDE

∠EDC

∠CDF

∠FDC

∠EDF

∠FDE


Example 3) In the figure above, M CDE = 62o and m EDF = 18o. Find the measure of

CDF.

D

62o

18o

C

F

E

∠CDF = 62 + 18

∠CDF =800


Example 4) The backyard of a house is illuminated by a light fixture that has two bulbs. Each bulb illuminates an angle 120o. If the angle illuminated only the right bulb is 35o, what is the angle illuminated by both bulbs?

Bulbs

120o

120o

35o

Middle angle = 120 – 35

= 85o


y fixture that has two bulbs. Each bulb illuminates an angle 120

x

Example 5) Plot the points A(-3 , -1), B (-1, 1), C(2, 4), D(2,1), and E(2,-2). Classify the following angles as acute, right, obtuse, or straight.

C

B

D

A

E

a) b) c) d)

Acute

Right

Straight

Obtuse

(About 45o)

(About 90o)

(180o)

(About 120o)


Example 6) Draw 5 points A, B, C, D and E so that all four statements are true:

angles AEC and BEC are adjacent

angle AEB is obtuse

D is on the exterior of angle AEB

Angle DEC is a right angle

A

C

D

B

E


Example 7) Angle JKL is a straight angle and JKM is 115 statements are true:o. H is in the interior of JKM. HKL is 130o. Find the measure of HKM

K

L

J

115o

130o

H

M

HKM

= 130 - 115

= 65o


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