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Question 26

In the adjoining figure, the value of $$x$$ in degrees is

image


Correct Answer: 48

$$ \angle DBE = 180\degree - 54\degree-108\degree = 18\degree$$(Straight angle)

$$\angle EDB = 180\degree- 60\degree \text{(vertically opposite angle)} Β -18\degree =102\degree$$ (Angle sum property of triangle)

$$\angle ADB = 180\degree- 102\degree = 78\degree$$ (Straight angle)

In $$\triangle ADB$$

$$x = 180\degree - 78\degree -54\degree = 48\degree$$ (Using angle sum property)

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