Question

each small angle is $44\frac{1}{6}$ degrees. find the measure of the full angle.

Explanation:

Step1: Convert the mixed number to an improper fraction

$44\frac{1}{6}=\frac{44\times6 + 1}{6}=\frac{264+1}{6}=\frac{265}{6}$

Step2: Count the number of small angles

There are 3 small angles.

Step3: Calculate the measure of the full angle

Multiply the measure of one small angle by the number of small angles.
$\frac{265}{6}\times3=\frac{265\times3}{6}=\frac{795}{6}=\frac{265}{2}=132\frac{1}{2}$

Answer:

$132\frac{1}{2}$ degrees