angles in a_triangle

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Reading Angles Reading Angles When reading angles the middle When reading angles the middle letter is always the vertex. letter is always the vertex. A B C G H D F E I

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Page 1: Angles in a_triangle

Reading AnglesReading Angles

When reading angles the middle letter is When reading angles the middle letter is always the vertex.always the vertex.

A B

C

GH D

F

E

I

Page 2: Angles in a_triangle

Angles in a TriangleAngles in a Triangle

L.I. We are learning that interior L.I. We are learning that interior angles of a triangle will always angles of a triangle will always

add to 180 add to 180 °°

Page 3: Angles in a_triangle

DefinitionDefinitionAngle Angle – two rays that meet at – two rays that meet at

a common end point.a common end point.

Page 4: Angles in a_triangle

DefinitionDefinitionDegree Degree – a unit of – a unit of

measurement of an angle or measurement of an angle or arc, represented by the arc, represented by the symbol º.symbol º.

30º

Page 5: Angles in a_triangle

DefinitionDefinition

Complementary Angles are angles Complementary Angles are angles that when added together make a that when added together make a right angle, 90.. right angle, 90..

A + B = 90.A

B

Page 6: Angles in a_triangle

DefinitionDefinition

Supplementary Angles are angles Supplementary Angles are angles that when added together are equal that when added together are equal to 180˚.to 180˚.

A + B = 180.A

B

Page 7: Angles in a_triangle

DefinitionDefinitionTriangleTriangle – a polygon with 3 – a polygon with 3

angles and 3 straight sides.angles and 3 straight sides.

Page 8: Angles in a_triangle

Property of trianglesProperty of trianglesThe sum of all the angles The sum of all the angles

equals 180º degreesequals 180º degrees..

90º 30º

60º

Page 9: Angles in a_triangle

Property of trianglesProperty of trianglesThe sum of all the angles The sum of all the angles

equals 180º degreesequals 180º degrees..

90º 30º

60º

60º90º30º+180º

Page 10: Angles in a_triangle

Property of trianglesProperty of trianglesThe sum of all the angles The sum of all the angles

equals 180º degreesequals 180º degrees..

90º 50º

40º

40º90º50º+180º

Page 11: Angles in a_triangle

Property of trianglesProperty of trianglesThe sum of all the angles The sum of all the angles

equals 180º degreesequals 180º degrees..60º60º60º+180º60º 60º

60º

Page 12: Angles in a_triangle

What is the missing What is the missing angle?angle?

70º70º?+

180º70º 70º

?

Page 13: Angles in a_triangle

What is the missing What is the missing angle?angle?

90º30º?+

180º30º 90º

?

Page 14: Angles in a_triangle

What is the missing What is the missing angle?angle?

60º60º?+

180º60º 60º?

Page 15: Angles in a_triangle

What is the missing What is the missing angle?angle?

30º78º?+

180º78º 30º

?

Page 16: Angles in a_triangle

What is the missing What is the missing angle?angle?

40º40º?+

180º40º 40º

?