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 $k?$

QuestionMachine Feb 4, 2021