Warm Up Solve for x. x + 1 + 3x + 1 = 90 4x + 2 = 90 4x = 88 x = 22

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Parallel Lines, Transversals

Parallel Lines & Transversals Geogebra Link

Corresponding Angles Same location but at different intersections (only travel on the transversal) Are congruent Equation: angle = angle

Alternate Interior Angles Opposite sides of the transversal & inside the parallels Are congruent Equation: angle = angle

Consecutive Interior Angles Same side of the transversal & inside the parallels Are supplementary Equation: angle + angle = 180

Alternate Exterior Angles Opposite sides of the transversal & outside the parallels Are congruent Equation: angle = angle

Which path? Same path: Angles are congruent. 11 10 13 12 15 14 17 16

Angles are supplementary. Which path? Same path: Angles are congruent. 11 10 13 12 15 14 17 Not on the same path: Angles are supplementary. 16

Practice #1 Find all the missing angles if Angle 1 = 70˚

Practice #2 Find x and Angle 2 x = 15 and Angle 2 = 50˚

Practice #3 Find x and y x = 6 and y = 20

Application

Bonus Find x x = 48

Bonus Find x x = 19

Bonus Find x x = 64