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1.Find x in the following figures.
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Answer :
As we know that the sum of the exterior angles formed by producing the sides of a convex polygon in the same order is equal to 360°. Therefore here we have,
(a)\( x + 125^{\circ} + 125^{\circ} = 360^{\circ}\)
\(\Rightarrow x + 250^{\circ} = 360^{\circ}\)
\(\Rightarrow x = 360^{\circ}– 250° = 110^{\circ}\)
\(\Rightarrow x = 110^{\circ}\)
(b) \(x + 90^{\circ} +60^{\circ} + 90^{\circ} + 70^{\circ} = 360^{\circ} \)
\(\Rightarrow x + 310^{\circ} = 360^{\circ} \)
\(\Rightarrow x = 360^{\circ} – 310^{\circ} = 50^{\circ} \)
\(\Rightarrow x = 50^{\circ} \)