Lines $\ell$ and $m$ are parallel. The ray $BC$ crosses both lines. The marked angle $x$ is

Question

Lines $\ell$ and $m$ are parallel. The ray $BC$ crosses both lines. The marked angle $x$ is an exterior angle of a regular polygon with consecutive vertices $A,B,C$; only this part of the polygon is shown. Find $x$.[1] Find the number of sides of the regular polygon.[1] State the parallel-line angle property used to find x.[1]

Accepted Answer

(a) $40^\circ$ (b) $9$ (c) Corresponding angles

Parallel lines and an exterior angle

Parallel lines and an exterior angle

Solution:

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