Polygon Angle Sums

Properties and applications of polygon angle sums.

Lesson 1 of 53 parts Practice Flashcards

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Interior Angle Sums

Objective: Apply interior angle sums.

For an n-sided polygon, interior angles sum to (n−2)×180°.

Worked examples

Try itFind the sum of interior angles of a polygon with 4 sides.Show answer

360°. Interior sum = (n−2)×180°.

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Objective: Apply interior angle sums.

For an n-sided polygon, interior angles sum to (n−2)×180°.

Worked examples

Try itFind the sum of interior angles of a polygon with 4 sides.Show answer

360°. Interior sum = (n−2)×180°.

Objective: Apply exterior angle sums.

One exterior angle at each vertex, taken in the same direction, totals 360°.

Worked examples

Try itA convex polygon has 4 sides. What is the total of one exterior angle at each vertex?Show answer

360°. One complete turn is 360°.

Objective: Apply regular polygon angles.

Each interior angle of a regular n-gon is (n−2)×180°/n.

Worked examples

Try itWhat is each interior angle of a regular 4-gon?Show answer

90°. Divide the interior angle sum by the number of equal angles.

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