Question
Compute the value of $x$ in the following figure.

Answer

From the given figure,
we can see that: $\angle \text{BAD}=\angle \text{ADC}=52^\circ$ (Alternate angles)
We know that the sum of all the angles of a triangle is $180^\circ $
Therefore, for $\triangle \text{DEC}:$
$\text{x}+40^\circ+52^\circ=180^\circ$
$\text{x}=88^\circ$

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