Chapter 7, Problem 28RP

To determine

To find the probability that the measure of the angle is an integral multiple of $30$

Answer to Problem 28RP

  $\frac{13}{18}$

Explanation of Solution

Given:

In a drawer, there is a regular triangle, a regular quadrilateral, a regular polygon, and a regular hexagon.

Calculation:

The quantities of angles are:-

For three pieces-

  $60$ is integral multiple of $30$

For four pieces-

  $90$ is integral multiple of $30$

For five pieces-

  $108$ is not integral multiple of $30$

For six pieces-

  $120$ is integral multiple of $30$

The following is the probability-

  $\frac{13}{18}$