Question

Find the measure of arc YU. BA Y NO Your answer

Answer 1

We have the following:

The sum of all the angles within a circle is equal to 360 degrees, therefore

`\begin{gathered} 360=UV+VW+XW+XY+YU \\ UV=XW=108 \\ XY=VW=55 \end{gathered}`

replacing:

`\begin{gathered} 360=108+55+108+55+YU \\ YU=360-108-55-108-55 \\ YU=34 \end{gathered}`

Therefore the mean angle YU is equal to 34 °