In the figure below, $ABCD$ is a rhombus, where diagonals $AC$ and $BD$ intersect at $O$. \(

Question

In the figure below, $ABCD$ is a rhombus, where diagonals $AC$ and $BD$ intersect at $O$. $EOF$ is a straight line segment that passes through $O$ and intersects sides $AB, CD$ at $E$ and $F$, respectively. Given that angle $BCO = 24^\circ$, angle $BEO = 36^\circ$, find the sizes of angle $ADO$, angle $CFO$, angle $DOE$, angle $COE$.

Accepted Answer

(a) $\angle ADO=66^\circ$ (b) $\angle CFO=144^\circ$ (c) $\angle DOE=102^\circ$ (d) $\angle COE=168^\circ$

Polygons

Polygons

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