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Exterior Angles

The document outlines exercises related to the exterior angles of polygons, including calculations for various shapes such as triangles, hexagons, octagons, and decagons. It provides specific answers for the sum of exterior angles, the sizes of interior angles, and the number of sides for given angle measures. Additionally, it includes a construction task for drawing a regular hexagon.

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Neelima Adhikary
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215 views2 pages

Exterior Angles

The document outlines exercises related to the exterior angles of polygons, including calculations for various shapes such as triangles, hexagons, octagons, and decagons. It provides specific answers for the sum of exterior angles, the sizes of interior angles, and the number of sides for given angle measures. Additionally, it includes a construction task for drawing a regular hexagon.

Uploaded by

Neelima Adhikary
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Polygons Exterior Angles

1. By extending the sides of these shapes, produce all of the exterior angles. You should have
18 exterior angles. Measure each and label the angle with its size. What is the sum of the
exterior angles in the equilateral triangle? What about the hexagon and the nonagon? What
do you notice?

2. What is the size of an exterior angle of a regular octagon?


Use this information to find the size of an interior angle in a regular octagon.

3. What is the size of an exterior angle of a regular decagon?


Use this information to find the size of an interior angle in a regular decagon.

4. A regular polygon has exterior angles of 30°. How many sides does it have?
What is the size of each interior angle in this polygon?

5. A regular polygon has interior angles of 170°. How many sides does it have?

6. Find the value of 𝑥 and 𝑦.

45° 90°
regular
hexagon

𝑥 𝑦

69° regular
octagon
98°

7. Draw a regular hexagon with sides of length 4cm using a protractor, ruler and your knowledge
of exterior angles in a hexagon. Do not erase your construction lines.
Polygons Exterior Angles Answers
1. In each polygon, the sum of the exterior angles is 360°.

2. 45°
135°

3. 36°
144°

4. 12 sides
150°

5. 36 sides

6. 58°
105°

7. Various methods are possible, e.g. students may use 60° exterior angles or they may calculate
and use the interior angles.

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