1. The problem asks to find the angle in degrees of the shaded portion of a circle divided into 10 equal sectors, with 7 sectors shaded. 2. Each sector of the circle represents an equal fraction of the full 360 degrees. 3. The formula to find the angle of the shaded portion is: $$\text{Shaded angle} = \frac{\text{Number of shaded sectors}}{\text{Total sectors}} \times 360^\circ$$ 4. Substitute the given values: $$\text{Shaded angle} = \frac{7}{10} \times 360^\circ$$ 5. Calculate the multiplication: $$\text{Shaded angle} = 7 \times \frac{360^\circ}{10}$$ 6. Simplify the fraction: $$\text{Shaded angle} = 7 \times \cancel{\frac{360^\circ}{10}} \Rightarrow 7 \times 36^\circ$$ 7. Multiply to find the final angle: $$\text{Shaded angle} = 252^\circ$$ Therefore, the angle of the shaded portion of the circle is **252 degrees**.