A n g l e s
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A N G L E S. What is an angle?. Two rays that share the same endpoint form an angle . The point where the rays intersect is called the vertex of the angle. Vertex. Ray. Angle. Here are some examples of angles. Angle Measurements.

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A N G L E S

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A n g l e s

ANGLES


What is an angle

What is an angle?

  • Two rays that share the same endpoint form an angle.

  • The point where the rays intersect is called the vertex of the angle.

Vertex

Ray

Angle


A n g l e s

  • Here are some examples

    of angles.


Angle measurements

Angle Measurements

  • We measure the size of an angle using degrees. The symbol for degrees is o

  • Here are some examples of angles and their degree measurements.


Acute angles

Acute Angles

  • An acute angle is an angle measuring between 0 and 90 degrees.

  • The following angles are all acute angles.


Obtuse angles

Obtuse Angles

  • An obtuse angle is an angle measuring between 90 and 180 degrees.

  • The following angles are all obtuse.


Right angles

Right Angles

  • A right angle is an angle measuring exactly 90 degrees.

  • The following angles are both right angles.


Straight angle

Straight Angle

  • A straight angle is exactly 180 degrees.


Measuring angles

Measuring Angles

  • You can measure angles using a protractor.


Naming angles

Naming Angles

< DEF

OR

< FED

The vertex always goes in the middle

D

  • There are 3 ways to name angles:

  • Using 3 letters

  • Using 1 letter

  • Using a number

E

F

<K

K

<6

6


A n g l e s

<K OR <JKL OR <LKJ

<J OR <MJK OR <KJM

J

K

M

L

<M OR <LMJ OR <JML

<L OR <MLK OR <KLM


Practice time

PRACTICE TIME!


Acute angle

AcuteAngle


Obtuse angle

ObtuseAngle


Right angle

RightAngle


Straight angle1

StraightAngle


Great job

GREATJOB!!


Complementary angles

Complementary Angles

Two Angles are Complementary if they add up to 90 degrees (a Right Angle).


Supplementary angles

Supplementary Angles

Two Angles are Supplementary if they add up to 180 degrees (straight angle).


A n g l e s

Practice questions out of the textbook:

pg. 4181-4, 8-11

OL Pg. 4221-3 (estimate the measure) , 8-14, 20-23, 27-35

PAP Pg. 42211-33

PAP Pg. 42713-17, 22-24


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