In the figure below, $ABCDE$ is part of a regular dodecagon ($12$-gon). $P$ is on the extensio

Question

In the figure below, $ABCDE$ is part of a regular dodecagon ($12$-gon). $P$ is on the extension of $ED$. Find the sizes of angle $ABC$, angle $CED$, angle $BCE$, angle $CDP$. Hence find the sum of interior angles and the sum of exterior angles of the regular dodecagon, respectively.

Accepted Answer

(a) $\angle ABC=150^\circ$ (b) $\angle CED=15^\circ$ (c) $\angle BCE=135^\circ$ (d) $\angle CDP=30^\circ$ (e) interior-angle sum $=1800^\circ$, exterior-angle sum $=360^\circ$

Polygons

Polygons

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