Two congruent quadrilaterals, $ABCD$ and $WXYZ$, are given below (not drawn to scale). \(\angle

Question

Two congruent quadrilaterals, $ABCD$ and $WXYZ$, are given below (not drawn to scale). $\angle BCD=\angle XYZ=90{}^\circ $, $\angle ABC=9x{}^\circ $ and $\angle ADC=2x{}^\circ $. $XWV$ is a straight line such that $\angle VWZ=42{}^\circ $. Find $\angle XWZ$. Using your result in (a), find the value of $x$.

Accepted Answer

$\text{(a)}\ 138^\circ$ $\text{(b)}\ 12$

Congruent Quadrilaterals and Exterior Angles

Congruent Quadrilaterals and Exterior Angles

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