1.

Compute the value of x in the figure:

Answer»

In the given figure, we have a quadrilateral and also we know that sum of all angles is quadrilateral is 360°.

Thus,

35° + 45° + 50° + reflex ∠ADC = 360°

On rearranging we get,

Reflex ∠ADC = 230°

230° + x = 360° (A complete angle)

x = 130°

35°+45°+50°+x=360°

x=230°,

AngleD+230°=360°

AngleD=130°

(Or we can simply calculate by using properties of triangle)


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