an exterior angle is outside the triangle and next to one of the sides. 4-2 exterior angle theorem

An exterior angle is outside the triangle and next to one of the sides. 4-2 Exterior Angle Theorem

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An exterior angle is outside the triangle and next to one of the sides.

4-2 Exterior Angle Theorem

Remote interior angle: an interior angle that is not adjacent to (not touching, away from) an exterior angle.

There are always 2 remote interior angles for each exterior angle.

*If you add the remote interior angles, they equal the exterior angle

Interior

Exterior m1 + m2 = m4

Page 3: An exterior angle is outside the triangle and next to one of the sides. 4-2 Exterior Angle Theorem

Examples1)

120°

x x + 90 = 120

x = 30

2x + 3 + 15 = 5x - 60

2x + 18 = 5x – 60

18 = 3x – 60

78 = 3x

26 = x

Page 4: An exterior angle is outside the triangle and next to one of the sides. 4-2 Exterior Angle Theorem

Solve for the value of x.30+ 4x + 2 = 8 + 6x

4x + 32 = 8 + 6x

32 = 8 + 2x

24 = 2x

12 = x

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