Subjects geometry

Angle Matching 794D3F

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1. The problem is to match each highlighted sector in the pie charts to its correct angle measure. 2. Recall that a full circle is 360° and sectors are portions of this circle. 3. The top-left diagram shows a quarter circle highlighted, which is exactly $\frac{1}{4} \times 360° = 90°$. 4. The top-second from left sector is smaller than a quarter but larger than a small acute angle, likely $45°$. 5. The top-second from right sector is very small, about $15°$. 6. The top-right sector is close to a third of the circle, approximately $135°$ (since $\frac{3}{8} \times 360° = 135°$). 7. The bottom-left sector is slightly more than a quarter, about $225°$ (which is $\frac{5}{8} \times 360°$). 8. The bottom-second from left sector is approximately a quarter, so $90°$. 9. The bottom-second from right sector is exactly a quarter, $90°$. 10. The bottom-right sector is a half circle, which is $180°$. Final matching: - Top-left: 90° - Top-second from left: 45° - Top-second from right: 15° - Top-right: 135° - Bottom-left: 225° - Bottom-second from left: 90° - Bottom-second from right: 90° - Bottom-right: 180°