week 4

Formulas

100

The formula for the sum of the interior angles of a polygon with n sides is...

n-2 (180)

200

Which formula would you use when trying to find the sum of the interior angles of a quadrilateral?

Si = n - 2 ( 180 )

Si = 4 - 2 (180)

Si - 2 (180)

Si - 360*

300

Which formula would you use when trying to find one individual interior angle?

       n - 2 (180)

I =----------------

           n

400

How do you know if a figure is concave?

It caves inward.

The line would eventually intersect the figure.

500

How do you know if a figure is convex?

All points or angles are pointing outward.

Quadrilaterals

100

What does "n" stand for in the formulas?

the number of sides

200

Draw a quadrilateral and name the angles A, B, C, and D

m<A = 75.  m<B = 75. m<C = 85   m< D = X

set up and solve for X.

X = 125*

300

Draw a quadrilateral and name the angles A, B, C, and D

m<A = 65.  m<B = 65. m<C = 130   m< D = 4X

set up and solve for X.

X = 25

400

Draw a quadrilateral and name the angles A, B, C, and D

m<A = 128.  m<B = 62. m<C = 80   m< D = 3X

set up and solve for X.

X = 30

500

Draw a quadrilateral and name the angles A, B, C, and D

m<A = 103.  m<B = 115. m<C = 65   m< D = X

set up and solve for X.

X = 77

Pentagon

100

Draw a pentagon and name the angles A, B, C,  D, and E.

m<A = 125.  m<B = 110. m<C = 115   m< D = 85  m<E = X

set up and solve for X.

Remember a pentagon is set = to 540

X = 105

200

Draw a pentagon and name the angles A, B, C,  D, and E.

m<A = 120.  m<B = 130. m<C = 90   m< D = 55  m<E = X

set up and solve for X.

Remember a pentagon is set = to 540

X = 145

300

Draw a pentagon and name the angles A, B, C,  D, and E.

m<A = 104   m<B = 94. m<C = 114   m< D = 108  m<E = X

set up and solve for X.

Remember a pentagon is set = to 540

X= 120

400

Draw a pentagon and name the angles A, B, C,  D, and E.

m<A = 90.  m<B = 90. m<C = 90   m< D = 135  m<E = X

set up and solve for X.

Remember a pentagon is set = to 540

X=135

500

Draw a pentagon and name the angles A, B, C,  D, and E.

m<A = 112.  m<B = 82. m<C = 115   m< D = 4X  m<E = 3X

set up and solve for X.

Remember a pentagon is set = to 540

X = 33

Interior Angle

100

What is the measure of one interior angle of a Hexagon?

120*

200

What is the measure of one interior angle of a Pentagon?

108*

300

What is the measure of one interior angle of a Nonagon?

140*

400

What is the measure of one interior angle of an Octagon?

135*

500

What is the measure of one interior angle of a Decagon?

144*

Sum of Interior

100

What is the sum of the interior angles of a Triangle?

180*

200

What is the sum of the interior angles of a Quadrilateral?

360*

300

What is the sum of the interior angles of a Pentagon?

540*

400

What is the sum of the interior angles of a Hexagon?

720*

500

What is the sum of the interior angles of a Nonagon?

1,260*