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<p>The figure shows a quadrilateral $ABCD$. The exterior angles at $A$, $B$ and $C$ are $142{}^\circ $, $105{}^\circ $ and $\mathrm{136}{}^\circ $ respectively.  If reflex $\angle ADC=x{}^\circ $,  find the value of $x$, stating your reasons clearly.</p>

The figure shows a quadrilateral $ABCD$. The exterior angles at $A$, $B$ and $C$ are $142{}^\circ $, $105{}^\circ $ and $\mathrm{136}{}^\circ $ respectively.  If reflex $\angle ADC=x{}^\circ $,  find the value of $x$, stating your reasons clearly.

Finding a Reflex Angle in a Quadrilateral Using Exterior Angles

Finding a Reflex Angle in a Quadrilateral Using Exterior Angles

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