Question

question 2 1 pts a pie is cut into 6 equal slices. what is the sum of two interior angles of the pie slices? 90 180 120 6

Explanation:

Step1: Calculate the measure of one interior angle

A full - circle has \(360^{\circ}\). If the pie (a circle) is cut into \(n = 6\) equal slices, then the measure of one interior angle \(\theta\) is given by the formula \(\theta=\frac{360^{\circ}}{n}\).
Substituting \(n = 6\) into the formula, we get \(\theta=\frac{360^{\circ}}{6}=60^{\circ}\).

Step2: Calculate the sum of two interior angles

Let the sum of two interior angles be \(S\). If one interior angle is \(\theta = 60^{\circ}\), then \(S=2\theta\).
Substituting \(\theta = 60^{\circ}\) into the formula for \(S\), we get \(S = 2\times60^{\circ}=120^{\circ}\).

Answer:

120