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In the figure ∠D =

A) 110°

B) 70°

C) 60° 

D) 120°

2 Answers

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Best answer

Correct option is (D) 120°

\(\because\) \(\angle A+\angle B+\angle C+\angle D\) \(=360^\circ\)   (Sum of all interior angles in a quadrilateral is \(360^\circ)\)

\(\Rightarrow\) \(\angle D=360^\circ-\angle A-\angle B-\angle C\)

\(=360^\circ-70^\circ-110^\circ-60^\circ\)   \((\because\angle A=70^\circ,\angle B=110^\circ,\angle C=60^\circ)\)

\(=360^\circ-240^\circ\)

\(=120^\circ\)

+1 vote
by (38.9k points)

Correct option is D) 120°

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