Triangle measures

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Warm Up Place the date in the top right of your paper. Sept. 10, 2012 If <3 is 75 ̊, find the measures of the other angles. 8 3 4 5 6 7 1 2

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Transcript of Triangle measures

Page 1: Triangle measures

Warm Up

Place the date in the top right of your paper.Sept. 10, 2012

If <3 is 75 , find the measures of the other angles. �

8

34

56

7

12

Page 2: Triangle measures

Activator

Exploring Triangles

Watch me Fold for Understanding!

Page 3: Triangle measures

Triangle Measures

Page 4: Triangle measures

Triangle Measures

Interior Angles

Page 5: Triangle measures

Triangle Measures

Interior Angles of a TriangleTriangle Sum Theorem

All angle measures inside the triangle (interior angles) added together equal 180 ˚.

m<a +m<b + m<c = 180 ˚

Let’s Practice

a

b

c

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Triangle Measures

35 ˚

What is the value of x?

* This figure is not drawn to scale.

40 ˚ x

Page 7: Triangle measures

Triangle Measures

35 ˚

What is the value of x?

35 + 40 + x = 180 75 + x = 180 x = 105

40 ˚ x

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Triangle Measures

90 ˚

What is the value of x?

* This figure is not drawn to scale.

45 ˚

x

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Triangle Measures

90 ˚

What is the value of x?

45 + 90 + x = 180 ˚ 135 + x = 180 ˚

x = 45

45 ˚

x

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Triangle Measures

Exterior Angles

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Triangle Measures

Exterior Angle

From the above figure what can you state about <c and the exterior angle?

c

a

b

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Triangle Measures

Exterior Angle

From the above figure what can you state about <c and the exterior angle?

They are supplementary.

c

a

b

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Triangle Measures

Exterior Angle

Let’s Explore the Measures!Click the link

c

a

b

http://www.mathwarehouse.com/geometry/triangles/angles/remote-exterior-and-interior-angles-of-a-triangle.php
Page 14: Triangle measures

Triangle Measures

Exterior Angle

More ExamplesClick the link

Practice!

c

a

b

https://meunier.wikispaces.com/file/view/Worksheet+%2310.pdf
http://www.kwiznet.com/p/takeQuiz.php?ChapterID=10730&CurriculumID=42&Num=6.3
Page 15: Triangle measures

Closing

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