6.2 Lesson. Take out your homework Find the value of x. 73 o 38 o x y z.

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Presentation transcript:

6.2 Lesson

Take out your homework

Find the value of x. 73 o 38 o x y z

Find the value of y. 73 o 38 o x y z

Find the value of z. 73 o 38 o x y z

These are called exterior angles of a triangle. What is the sum of the exterior angles? 73 o 38 o x y z

These are called exterior angles of a triangle. What is the sum of the exterior angles? 73 o 38 o x y z

Find the value of a. 32 O 114 O a b c d

Find the value of a. 32 O 114 O a b c d

Find the value of b. 32 O 114 O a b c d

Find the value of c. 32 O 114 O a b c d

Find the value of d. 32 O 114 O a b c d

What is the sum of a quadrilateral’s exterior angles? 32 O 114 O a b c d

Generalize What do you think will be the sum of interior angles of a –Pentagon? –Hexagon? –Octagon? –N-gon?

Conjectures C-40 The sum of the measures of one set of exterior angles is _________________.

What is the measure of each exterior angle below?

What is the measure of each interior angle below?

What are two methods for finding the measure of one interior angle in a regular polygon?

Conjectures C-41 The measure of each angle of an equiangular n-gon can be found by using either of the following expression: _________________________ or _________________________

Find the measure of one interior angle of a regular decagon.

Find the measure of each interior angle of following figure.

Homework 6.2 p.286 #1-6,9-16