Question
Compute the value of x in the following figure.
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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°
Therefore, for $\triangle \text{DEC}:$
$\text{x}+40^\circ+52^\circ=180^\circ$
$\text{x}=88^\circ$
$\angle \text{BAD}=\angle \text{ADC}=52^\circ$ (Alternate angles)
We know that the sum of all the angles of a triangle is 180°
Therefore, for $\triangle \text{DEC}:$
$\text{x}+40^\circ+52^\circ=180^\circ$
$\text{x}=88^\circ$
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