What is the size of the missing angle?
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What is the size of the missing angle?
It cannot be calculated.
Find the measure of the angle \( \alpha \)
Because we don't know if these two angles make up the entire circle! The 65° angle is just one sector - there could be many other sectors we can't see in this diagram.
You'd need to know either:
Look for missing key information! In circle problems, you need either: total degrees accounted for, arc lengths, or radius measurements. If crucial data is missing, the problem may be unsolvable.
Not exactly! This teaches an important lesson: not every geometric figure provides enough information for calculations. Real-world problems often require you to identify when more data is needed.
Actually, no! Without knowing the total sector arrangement or additional constraints, the missing angle could theoretically be any value from 0° to 295° (since 65° + missing ≤ 360°).
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