Question

use the angle measurement tool to measure the angles of each polygon. do the angle measures agree with your results?
page 13
integrated math 1 a credit 1
lifelong learning

Explanation:

Step1: Use a protractor

Place the center - point of the protractor on the vertex of the angle of the polygon. Align one side of the angle with the 0 - degree mark of the protractor.

Step2: Read the measurement

Read the degree measure where the other side of the angle intersects the protractor scale.

Step3: Compare with expected values

For a regular polygon, the sum of interior angles is given by the formula $(n - 2)\times180^{\circ}$, where $n$ is the number of sides. And each interior angle of a regular polygon is $\frac{(n - 2)\times180^{\circ}}{n}$. Compare the measured angles with these expected values. If the polygon is irregular, there is no fixed formula for the measure of each individual angle, but the sum of interior angles still follows $(n - 2)\times180^{\circ}$. Check if the sum of the measured angles is consistent with this formula.

Answer:

First, measure the angles of the polygon using a protractor. Then, if it's a regular polygon, calculate the expected angle measure using the formula $\frac{(n - 2)\times180^{\circ}}{n}$ and compare. If it's irregular, calculate the sum of the measured angles and check if it equals $(n - 2)\times180^{\circ}$. Based on this comparison, determine if the angle measures agree with expectations.