The relation between arc length and exterior angle is given in the figure.
Now we are given far arc length as DE =124
We are given near arc length as BC = 36
So plugging in the formula to find measure of angle A:
![angle A=(far arc-near arc)/(2)](https://img.qammunity.org/2019/formulas/mathematics/high-school/nomioyn7qb6n2zt29cseyw6a3tfohy9rm3.png)
![angle A=(124-36)/(2)](https://img.qammunity.org/2019/formulas/mathematics/high-school/windxrtdzy4midimwb2qlyqnlqw0k76edw.png)
![angle A=(88)/(2)](https://img.qammunity.org/2019/formulas/mathematics/high-school/h8lacz8bnn4imgmnq0530jxl0flahvhwfm.png)
Angle A = 44 degrees
Answer : A) 44 degree