Explanation
If we have the question as
Then, we will have the measure of arc BC as 45 degrees (An arc measure is an angle the arc makes at the center of a circle)
For the measure of angle A
[tex]Measure\text{ of angle A=}\frac{1}{2}\times45^0=22.5^0(Angle\text{ at center is twice that at the center})[/tex]
To get the measure of angle AB
we will have
So that
[tex]\begin{gathered} x+x+45=360 \\ 2x=360-45 \\ 2x=315 \\ x=\frac{315}{2} \\ \\ x=157.5^0 \end{gathered}[/tex]
Therefore, the measure of the arc AB is 157.5 degree
