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Geometry
Guided Notes
Angles of Polygons
Name: _________________________
Date: ____________ Period: ______
The sum of the measures of the interior angles of a convex n-gon is ____________________________
_____________________________Theorem - The sum of the measures of the interior angles of a
__________________ n-gon is ____________________________.
Corollary to this Theorem - The measure of ______________ interior angle of a regular n-gon is
___________________________________
Example #1: Solve for x.
Example #2: Each interior angle of a regular polygon is 108°. How many sides does the polygon have?
Example #3: The number of sides of a regular polygon is 10. Find the measure of EACH interior angle.
________________________________________________ Theorem - The sum of the measures of the
________________________ angles, one from each vertex, of a __________________________
polygon is ________________________.
Corollary to this Theorem - The measure of ___________________ exterior angle of a __________________
n-gon is ___________________________.
Geometry
Guided Notes
Angles of Polygons
Name: _________________________
Date: ____________ Period: ______
Example #4: Solve for x.
Example #5: The measure of an exterior angle of a regular polygon is 40°. How many sides does the polygon
have?
Example #6: Each interior angle of a regular polygon measures 160°. Find the measure of each exterior angle
and the number of sides of the polygon.
Example #7: What is the sum of the measures of the interior angles of a quadrilateral?
Example #8: What are the measures of the interior angles of the figure below?
Example #9: What is the measure of one exterior angle of a regular octagon?
Geometry
Guided Notes
Angles of Polygons
Name: _________________________
Date: ____________ Period: ______
Example #10: If the measure of an exterior angle of a regular polygon is 18°, how many sides does the polygon
have?
Example #11: If a regular polygon has 12 sides, what is the measure of each interior and exterior angle?
Example #12: In a convex polygon, two consecutive interior angles are 150° and 120°. This pattern of congruent
angles continues around the polygon. How many sides does the polygon have?
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