Lessons on Angle Pair Relationships

Intro to angles

Mr. Underwood

Lesson objectives

• To be able to identify different types of angles

• To be able to recall basic angle facts in shape and around a point

• To be able to solve unknown angles by use of learned angle facts

Open Ended

Starter:

How many types of angle can you name? (write as a list)

Acute angles

• The smallest type of angle

• 

   $0\degree<angle\ size\ <90\degree$  

Obtuse angles

•  $90\degree<angle\ size<180\degree$  

Right angles

• Can be identified by a small square as shown in green

• angle size is always equal to

   $90\degree$  

Reflex angles

•  $180\degree<angle\ size<360\degree$  

Angles on a straight line

• Always equal to

   $180\degree$  

Angles around a point

• Can be made from a number of different angles ( as seen on the right)

• Are always equal to

   $360\degree$  

Multiple Choice

What type of angle is shown here?

• reflex

• obtuse

• acute

• right

Multiple Choice

Jack says that the "size of an obtuse angle can be 180^o "

is he correct?

• True

• False

Fill in the Blanks

Work out the size of the missing angle below

Complementary Angels:

Two angles that add to 90o
 $30\degree+60\degree=90\degree$  


Other facts about angles to remember?

can you think of any more?

Complementary angles

Two angles that add up to make  $90\degree$  

Multiple Choice

What are complementary angles?

• Angles that add up to 180°

• Angles that add up to 90°

• Angles that are equal to each other

• Angles that are opposite of each other when lines intersect.

Multiple Choice

• x = 56

• x = 66

• x = 156

• x = 166

Multiple Choice

• x = 118

• x = 108

• x = 28

• x = 58

Supplementary Angels:

Two angles that add to  $180\degree$  
 $120\degree+60\degree=180\degree$  


Multiple Choice

• x = 118
• x = 108
• x = 28
• x = 58

Multiple Choice

What kind of angles are shown?

• complementary
• supplementary
• adjacent
• corresponding

Multiple Choice

What is the measure of the missing angle?

• 92
• 102
• 82
• 72

Multiple Choice

What term is used to describe a pair, or group, of angles that equal 180 degrees?

• Supplementary Angles

• Complementary Angles

• Vertical Angles

• Congruent Angles