Calculate X.
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Calculate X.
20
If one of two corresponding angles is a right angle, then the other angle will also be a right angle.
A complete circle always has 360 degrees total. If you only see some sectors labeled, there must be other unlabeled sectors that complete the full circle.
Look at the diagram carefully! If the labeled sectors don't appear to make a complete circle, there are additional unlabeled sectors that fill the remaining space.
That would mean the sectors equal each other, but they don't have to! The key insight is that all sectors combined equal 360°, not that individual sectors equal each other.
No, because X represents part of an angle measurement. Both 5X and (100-X) must be positive since they're sector angles, so X must be between 0 and 20.
Substitute back: if X = 20, then 5X = 100° and (100-X) = 80°. Both are reasonable sector sizes, and together they could be part of a 360° circle!
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