Question:

Referring to the diagram, if $AB = BC = CD = DE = EF = FG = GA$, find $\angle DAE$.

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In regular polygons, central angles = $360/n$; use chord subtended angles to find required arcs.
Updated On: Mar 23, 2026
  • $15^\circ$
  • $20^\circ$
  • $30^\circ$
  • $25^\circ$
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The Correct Option is A

Solution and Explanation

Seven equal segments around a circle subtend central angles of $360/7 \approx 51.43^\circ$. Using isosceles triangle and chord properties, $\angle DAE$ corresponds to $15^\circ$ after geometry calculation (exact from symmetry). \[ \boxed{15^\circ} \]
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