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

Determine the measure of angle one. Oh is the center of the circle.-example-1
User Jin Lim
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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°.

User Kakira
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