When a line intersects two parallel lines, eight angles are formed. The line is called a Transversal.

Alternate Interior Angles are equal and form a “Z” pattern. OR The “Z” pattern can be formed 2 different ways.

Corresponding Angles are equal and form a “F” pattern. OR The “F” pattern can be formed 4 different ways.

Corresponding Angles are equal and form a “F” pattern. OR The “F” pattern can be formed 4 different ways.

Co-interior Angles have a sum of 180 o and form a “C” pattern. ( x o + y o = 180 o ) OR The “C” pattern can be formed 2 different ways.

From the diagram, name all the Alternate Interior Angles.

 3 =  6  4 =  5

From the diagram, name all the Corresponding Angles.

 4 =  8  2 =  6  1 =  5  3 =  7

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

 3 +  5 = 180 o  4 +  6 = 180 o

CALCULATE THE UNKNOWN ANGLE MEASURES.

First using ALTERNATE INTERIOR ANGLES we can solve for “y o ” to = 70 o = 70 o Second, using SUPPLEMENTARY ANGLES we can solve for “X o ”: 180 = 70 o + X 180 = 70 o + X = X 110 o = X

CALCULATE THE UNKNOWN ANGLE MEASURES.

First using CO- INTERIOR ANGLES we can solve for “y o ”: 180 = 100 o + y o 180 = 100 o + y o = y o 80 = y o Second, using CO- INTERIOR ANGLES we can solve for “x o ”: 180 = 100 o + x o = x o 80 o = x o Continue

CALCULATE THE UNKNOWN ANGLE MEASURES. Third using ALTERNATE INTERIOR ANGLES we can solve for “z o ”: z o = 60 o

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