Question

Determine the measure of angle one. Oh is the center of the circle.

Answer 1

The sum of angles in a circle is 360°. This means that if we calculate the sum of all the arc angles provided for a circle, the result will be 360°.

The image in the question gives two arc angles: 280° and ∠1. Therefore, we have that:

`\angle1+280\degree=360\degree`

Solving for ∠1, we have:

`\begin{gathered} \angle1=360-280 \\ \angle1=80\degree \end{gathered}`

The measure of ∠1 is 80°.