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Using properties of angles , arcs, chords and redii to find measurements There’s not really a question just this picture I need some help

Using properties of angles , arcs, chords and redii to find measurements There’s not-example-1

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Given two intersected chords:

The measure of the given arcs are: 55 and 165

So, the measure of angle a =


\angle a=(1)/(2)\cdot(165+55)=(1)/(2)\cdot220=110

The angles a and b are supplementary angles:


\begin{gathered} \angle a+\angle b=180 \\ 110+\angle b=180 \\ \angle b=180-110=70 \end{gathered}

so, the answer will be:


\begin{gathered} \angle a=110 \\ \angle b=70 \end{gathered}

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