+1 vote
in Quadrilaterals by (40.5k points)
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In a Quadrilateral ABCD, ∠A + ∠B = 200° then ∠C + ∠D = ……………… 

A) 110° 

B) 180° 

C) 160° 

D) 300°

2 Answers

+1 vote
by (56.9k points)
selected by
Best answer

Correct option is (C) 160°

\(\because\) Sum of all angles in a quadrilateral is \(360^\circ.\)

\(\therefore\) In quadrilateral ABCD,

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

\(\Rightarrow\) \(200^\circ\) \(+\angle C+\angle D\) \(=360^\circ\)  \((\because\angle A+\angle B=200^\circ)\)

\(\Rightarrow\) \(\angle C+\angle D\) \(=360^\circ-200^\circ=160^\circ\)

+2 votes
by (42.4k points)

Correct option is  C) 160°

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