Question
Compute the value of x in the following figure.
✓
Answer
In the given figure, we have a quadrilateral whose sum of all angles is 360º
Thus,
$35^\circ+45^\circ+50^\circ+\text{reflex}\ \angle \text{ADC}=360^\circ$
Or,
Reflex $\angle \text{ADC}=230^\circ$
$230^\circ+\text{x}=360^\circ$ (A complete angle)
$\text{x}=130^\circ$
Thus,
$35^\circ+45^\circ+50^\circ+\text{reflex}\ \angle \text{ADC}=360^\circ$
Or,
Reflex $\angle \text{ADC}=230^\circ$
$230^\circ+\text{x}=360^\circ$ (A complete angle)
$\text{x}=130^\circ$
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