When a line When a line intersectsintersects two parallel lines, two parallel lines, eighteight anglesangles are formed. are formed.

The line is called a The line is called a Transversal.Transversal.

Alternate Interior AnglesAlternate Interior Angles are equal and are equal and form a “Z” pattern.form a “Z” pattern.

OROR

The “Z” pattern can be formed 2 different The “Z” pattern can be formed 2 different ways.ways.

Corresponding AnglesCorresponding Angles are equal and are equal and form a “F” pattern.form a “F” pattern.

OROR

The “F” pattern can be formed 4 different The “F” pattern can be formed 4 different ways.ways.

Corresponding AnglesCorresponding Angles are equal and are equal and form a “F” pattern.form a “F” pattern.

OROR

The “F” pattern can be formed 4 different The “F” pattern can be formed 4 different ways.ways.

Co-interior AnglesCo-interior Angles have a sum of 180 have a sum of 180oo and form a “C” pattern. ( xand form a “C” pattern. ( xoo + y + yoo = 180 = 180oo ) )

OROR

The “C” pattern can be formed 2 different The “C” pattern can be formed 2 different ways.ways.

From the diagram, name all From the diagram, name all the Alternate Interior Angles.the Alternate Interior Angles.

From the diagram, name all From the diagram, name all the Alternate Interior Angles.the Alternate Interior Angles.

3 = 3 = 6 6

4 = 4 = 5 5

From the diagram, name all From the diagram, name all the Corresponding Angles.the Corresponding Angles.

From the diagram, name all From the diagram, name all the Corresponding Angles.the Corresponding Angles.

4 = 4 = 8 8

2 = 2 = 6 6

1 = 1 = 5 5

3 = 3 = 7 7

From the diagram, name all From the diagram, name all the Co-Interior Angles.the Co-Interior Angles.

From the diagram, name all From the diagram, name all the Co-Interior Angles.the Co-Interior Angles.

3 + 3 + 5 = 1805 = 180oo

4 + 4 + 6 = 6 = 180180oo

CALCULATE THE UNKNOWN CALCULATE THE UNKNOWN ANGLE MEASURES.ANGLE MEASURES.

CALCULATE THE UNKNOWN CALCULATE THE UNKNOWN ANGLE MEASURES.ANGLE MEASURES.

First using First using ALTERNATE ALTERNATE INTERIOR ANGLESINTERIOR ANGLES we can solve for we can solve for “y“yoo” to” to

= 70= 70oo

Second, using Second, using SUPPLEMENTARY SUPPLEMENTARY ANGLESANGLES we can we can solve for “Xsolve for “Xoo”:”:

180 = 70180 = 70o o + X+ X

180 - 70 = X180 - 70 = X

110110oo = X = X

CALCULATE THE UNKNOWN CALCULATE THE UNKNOWN ANGLE MEASURES.ANGLE MEASURES.

CALCULATE THE UNKNOWN CALCULATE THE UNKNOWN ANGLE MEASURES.ANGLE MEASURES.

First using First using CO-CO-INTERIOR ANGLESINTERIOR ANGLES we can solve for we can solve for “y“yoo”:”:

180 = 100180 = 100oo + y + yoo

180 - 100 = y180 - 100 = yoo

80 = y80 = yoo

Second, using Second, using CO-CO-INTERIOR ANGLES INTERIOR ANGLES we can solve for we can solve for “x“xoo”:”:180 = 100180 = 100oo + x + xoo

180 - 100 = x180 - 100 = xoo

8080oo= x= xooContinue

CALCULATE THE UNKNOWN CALCULATE THE UNKNOWN ANGLE MEASURES.ANGLE MEASURES.

Third using Third using ALTERNATE ALTERNATE INTERIOR ANGLES INTERIOR ANGLES we can solve for we can solve for “z“zoo”:”:

zzoo = 60 = 60oo

Class Work

• Check solutions to Lesson 16• Copy notes from Lesson 16(2)• Complete Lesson 16(2) worksheet.