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Relationships of Exterior and
Interior Angles of a Convex
Polygon
Find the sum of the interior and
exterior angles of the following:
1. Triangle
2. Quadrilateral
3. Undecagon
Activity 1:
Solution!!!
Solution!!!
Activity 2:
Find the value of x.
Find the value of x.
Can you find the
number of side of a
polygon given the sum
of its interior angle?
How?
Example:
1. How many sides
does the polygon have
if the sum of each
interior angle is 900º?
Example:
2. If each interior angle
of a regular polygon
measures 170º, how
many sides does the
polygon have?
Example:
3. How many sides
does the polygon have
if the sum of each
interior angle is 1980º?
Example:
4. If each exterior angle
of a regular polygon
measures 45º, how
many sides does the
polygon have?
Example:
5. If each interior angle
of a regular polygon
measures 120º, how
many sides does the
polygon have?
Example:
6. If each exterior angle of
a regular polygon
measures 14.4º, how
many sides does the
polygon have?
Quiz!!!
A. Compute for the number sides of
the given polygons given the sum of
their interior angles.
1. 3060°
2. 3960°
Quiz!!!
B. Compute for the number sides of the
given polygons given the interior angle.
5. 140°
4. 108°
C. Compute for the number sides of the
given polygons given the exterior angle.
5. 22.5°
Assignment!!!
1. Given the figure below, find the measure of
∠C.
2. In Figure below, compute for C.
Assignment!!!
3. Find the value of x.

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relationship of interiorand exterior angle.ppt