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Finding the angles of Polygons

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Please help with the following problems on geometry and topology. Provide step by step calculations. See the attached files for diagrams to go along with the questions.

Find the value of x and any unknown angles.

Find the measure of one angle in the polygon. Round to nearest tenth if needed.
4. Regular 30-gon 5. Regular 35-gon

For #6-8, find the value of x and any unknown angles

For #1-4, use the diagram on the right.

1. Which two numbered angles form a right angle?
2. Which numbered angles are supplementary?
3. Which numbered angles are complementary?
4. Which numbered angles are right angles?

Find the measure of the numbered angles in the following two figures.

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Solution Summary

This posting helps with a problem about geometry and topology. Complete solutions to all the questions are provided. This is a great practice problem set on polygons.

Solution Preview

Please see the attached file.

Page3

1. 2 and 3
2. 1 and 4
3. 2 and 3
4. 1, 4 and 5
5. 6=24 deg, 5=7= (180-24) = 156 degrees
6. 8=5=1=4=53 deg and 6=7=2=3=180-53=127 ...

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