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# Got a list of problems

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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?

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

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Ask only one question at a time!

Feb 4, 2021
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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