Finding the Angle Subtended at the Center

Q. The circle is divided into 15 equal parts. What is the measure of the angle for the blue region?

1. ${100}^{\circ }$
2. ${130}^{\circ }$
3. ${110}^{\circ }$
4. ${120}^{\circ }$

Q. Freddie was fencing a circular playground. In his first shift, he fenced $\frac{1}{2}$of the ground, in his second shift he fenced $\frac{1}{5}$ of it, and in his third shift, he fenced $\frac{2}{36}$ of the playground. What angle of the playground did he fence?

1. ${20}^0$
2. ${272}^0$
3. ${180}^0$
4. ${72}^0$