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

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

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

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

  1. Solve for x.

  2. Solve for x.

Answers and explanations

  1. 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,

  2. 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: