1) The opposite angles of a cyclic quadrilateral are supplementary and an exterior angle of a cyclic quadrilateral is equal to the interior opposite angle. 2) A polygon's interior angles sum to (n-2) * 180 degrees, where n is the number of sides, and the exterior angles sum to 360 degrees. 3) For a regular polygon with n sides, each exterior angle measures 360/n degrees.

1. Cyclic Quadrilaterals
1

2. 2

3. Cyclic Quadrilateral Theorem:
­ the opposite angles of a cyclic quadrilateral
are supplementary
­ an exterior angle of a cyclic quadrilateral is
equal to the interior opposite angle
3

4. 4

5. 5

6. A convex polygon with n sides can be
divided into (n ­ 2) triangles
The sum of the interior angles of a
polygon with n sides = (n ­ 2) x 180
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7. The exterior angles in an n sided polygon add up to 3600
If there are n sides in a regular polygon then the measure
of each exterior angle in the polynomial will be
3600
n
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8. 8

9. Example find the value of each angle
6x +1 6x
1?
2?
2x ­ 2
1400
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10. Draw a 6 sided regular polygon, determine the measure of
each interior angle
Determine the measure of each exterior angle
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11. 11