Given two intersected chords:
The measure of the given arcs are: 55 and 165
So, the measure of angle a =
[tex]\angle a=\frac{1}{2}\cdot(165+55)=\frac{1}{2}\cdot220=110[/tex]
The angles a and b are supplementary angles:
[tex]\begin{gathered} \angle a+\angle b=180 \\ 110+\angle b=180 \\ \angle b=180-110=70 \end{gathered}[/tex]
so, the answer will be:
[tex]\begin{gathered} \angle a=110 \\ \angle b=70 \end{gathered}[/tex]
