Pairs of Angles

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Pairs of Angles : 

Pairs of Angles Angle Supplementary Angles Complementary Angles Adjacent Angles Linear Pair Vertical Angles

Objective: : 

Objective: At the end of the lesson the students should be able to determine the pairs of angles.

Slide 3: 

What is an angle?

Slide 4: 

Angle - figure formed by two rays that have the same endpoint; the two rays are called the sides of the angle; their common endpoint is the vertex.

Slide 5: 

Examples of an angle A B C S T X <ABC side side vertex side side <STX vertex

Slide 6: 

Supplementary Angles

Slide 7: 

Supplementary Angles- are two angles whose measures have a sum of 180 0.

Example of Supplementary angles : 

Example of Supplementary angles A B D 1200 600 <AOD = 1200 O <DOB = 600 1800 +

Slide 9: 

Complementary Angles

Slide 10: 

Complementary angles- are two angles whose measures have a sum of 900.

Example of Complementary angles : 

Example of Complementary angles 600 300 <MOR = 600 M O N R <RON = 300 + <MON = 900

Slide 12: 

Adjacent Angles

Adjacent angles- are angles which have a common side and a common vertex but no interior points in common. : 

Adjacent angles- are angles which have a common side and a common vertex but no interior points in common.

Example of Adjacent angles : 

Example of Adjacent angles R S Q T <QST <RSQ SQ is the common side. Common vertex

Slide 15: 

Linear Pair

A linear pair- are two angles which are adjacent and whose non-common sides are opposite rays. : 

A linear pair- are two angles which are adjacent and whose non-common sides are opposite rays.

Slide 17: 

Example of Linear pair R P S Q <PSR <RSQ SR is the common side of the two angle and the other non-common sides are opposite rays.

Slide 18: 

Vertical Angles

Vertical Angles- are two nonadjacent angles formed by two intersecting lines. : 

Vertical Angles- are two nonadjacent angles formed by two intersecting lines.

Example of Vertical angles : 

Example of Vertical angles A D B C O <AOB and <DOC What are the following vertical angles? <AOD and <BOC

Slide 21: 

The End

Slide 22: 

Presented by: Miss Nila Halanie B. Gevero BSEd Mathematics