In the figure below, $BC$ is parallel to $DF$ and $AE$ is parallel to $CD$. Given that angle

Question

In the figure below, $BC$ is parallel to $DF$ and $AE$ is parallel to $CD$. Given that angle $BCD=2x{}^\circ $, angle $CDE=x{}^\circ $, angle$AEF=y{}^\circ $, angle $EAB=z{}^\circ $ and angle$ABC=130{}^\circ $. Find the value of $x$ $y$ $z$ State your reasons clearly in your workings.

Accepted Answer

(a) $x = 60$ (b) $y = 60$ (c) $z = 110$

Using Alternate, Corresponding, and Interior Angles to Find Unknowns

Using Alternate, Corresponding, and Interior Angles to Find Unknowns

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