why do triangle angles always sum to 180°?. in this lesson you will learn about the interior angles...

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Why do triangle angles always sum to 180°?

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Page 1: Why do triangle angles always sum to 180°?. In this lesson you will learn about the interior angles of triangles by looking at their properties

Why do triangle angles always sum to 180°?

Page 2: Why do triangle angles always sum to 180°?. In this lesson you will learn about the interior angles of triangles by looking at their properties

In this lesson you will learn about the interior angles of triangles by looking at their

properties.

Page 3: Why do triangle angles always sum to 180°?. In this lesson you will learn about the interior angles of triangles by looking at their properties

Let’s Review

The three angles of a triangle always sum to 180°.

98 + 42 + 40 = 18084 + 69 + 27 = 180111 + 46+ 23 = 180

90 + 68 + 22 = 180

Page 4: Why do triangle angles always sum to 180°?. In this lesson you will learn about the interior angles of triangles by looking at their properties

Let’s Review

A line that passes through parallel lines is called a transversal.

Page 5: Why do triangle angles always sum to 180°?. In this lesson you will learn about the interior angles of triangles by looking at their properties

Let’s Review

Transversals create special angle properties.

Alternate Exterior AnglesCorresponding AnglesAlternate Interior Angles

Page 6: Why do triangle angles always sum to 180°?. In this lesson you will learn about the interior angles of triangles by looking at their properties

Core Lesson

Triangles share many of these angle relationships.

1

1 2

3

3

Page 7: Why do triangle angles always sum to 180°?. In this lesson you will learn about the interior angles of triangles by looking at their properties

Core Lesson

Find the missing angle measurement.

x

89 + 68 = 157

180-157 = 23

x = 23°

Page 8: Why do triangle angles always sum to 180°?. In this lesson you will learn about the interior angles of triangles by looking at their properties

In this lesson you have learned about the interior angles of triangles by looking at their

properties.