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1. What is the ratio of the number of degrees in the interior angle of a regular pentagon to the number of degrees in the interior angle of a regular hexagon?
Write your answer as a common fraction.

 

2. The diagram shows two pairs of parallel lines intersecting with each other. We know $\angle A$ is $100^\circ$ greater than $\angle B.$ Find the degree measure of $\angle A.$

 

3. The diagram shows two pairs of parallel lines intersecting with each other. We know $\angle A$ is $100^\circ$ greater than $\angle B.$ Find the degree measure of $\angle A.$

 

4. A square tile, a regular hexagon tile, and a regular $n$-sided polygon tile share a common vertex. There are no gaps or overlaps between the tiles. What is $n?$

 

5. Find all integers $n$ such that when the clock strikes $n$ o'clock, the acute angle between the hour and minute hands is $60^{\circ}$. Enter your answer as a comma-separated list.

 

6. The exterior angles of a $k$-sided polygon form an arithmetic sequence. The smallest and largest interior angles of the polygon are $136^{\circ}$ and $176^{\circ}$. What is $k?$

 Feb 4, 2021
 #1
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Ask only one question at a time!

 Feb 4, 2021
 #2
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So... that was kinda sad. :(((

 

Hi QuestionMachine!

 

You have quite a few problems, but I think you are more than capable of solving them, so I'll give you hints. :D

 

1. The sum of the interior angles of a polygon is 180(n-2), where n is the number of sides. 

2. m

 Feb 4, 2021

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