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Inscribed angles, I’m being asked for a, and b but I don’t understand this question

Inscribed angles, I’m being asked for a, and b but I don’t understand this question-example-1

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Given the figure of a circle.

There are 3 arcs with the following measures: a, 100, and 136

the sum of the measures of the arcs = 360

So, we can write the following equation:


a+100+136=360

Solve the equation to find (a):


\begin{gathered} a+236=360 \\ a=360-236=124 \end{gathered}

The angle (b) is the Inscribed angle opposite the arc (a)


b=(1)/(2)a=(1)/(2)*124=62

So, the answer will be:


\begin{gathered} a=124 \\ b=62 \end{gathered}

User Stefan Hendriks
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