More Polygon Word Problems.notebook November 13, 2015 ex1 Find the measure of each interior angle, each exterior angle, and the sum of the interior angles of a regular dodecagon. Math Busters Word Problems reproducible worksheets are designed to help teachers, parents,. What is the sum of the measures of the interior angles of.
![Word Word](https://www.math-drills.com/geometry/images/geometry_co-interior_angles_001_pin2.jpg?v=1373813363)
We will learn how to solve the problems on angle sum property of a polygon having 'n' sides. We know, the sum of 3 angles of a triangle is 180°.
In geometry, you can find the sum of the interior or exterior angles of a polygon based on the number of sides the polygon has. You can then apply this information to find individual interior or exterior angles.
![Problems Problems](https://i.ytimg.com/vi/BEot-zo23bk/maxresdefault.jpg)
The sum of the exterior angles of any polygon is 360 degrees. The formula
tells you the sum of the interior angles of a polygon, where n represents the number of sides.
![Angles Angles](https://www.onlinemath4all.com/images/exteriorangles7.png)
Triangle Word Problems Worksheets
Practice questions
Use your knowledge of the sums of the interior and exterior angles of a polygon to answer the following questions.
Vertical Angle Word Problems
Solve for x.
Solve for x.
Answers and explanations
58 degrees
The sum of the exterior angles of a polygon is 180 (n – 2), where n represents the number of sides. The sum of the angles of a pentagon (five sides) is equal to
The pentagon is missing one interior angle, which you can call y:
The interior and exterior angles of a polygon are supplementary. Therefore,
20 degrees
The sum of the interior angles of a polygon is 180 (n – 2), where n represents the number of sides. The sum of the angles of a hexagon (six sides) is equal to
Add the interior angles, set the sum equal to 720, and solve for x: