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:
[tex]a+100+136=360[/tex]
Solve the equation to find (a):
[tex]\begin{gathered} a+236=360 \\ a=360-236=124 \end{gathered}[/tex]
The angle (b) is the Inscribed angle opposite the arc (a)
[tex]b=\frac{1}{2}a=\frac{1}{2}*124=62[/tex]
So, the answer will be:
[tex]\begin{gathered} a=124 \\ b=62 \end{gathered}[/tex]
