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in Quadrilaterals by (36.7k points)
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In the parallelogram SOAP, ∠S = 100° then ∠A = ……………… 

A) 80° 

B) 60° 

C) 70° 

D) 30°

2 Answers

+1 vote
by (57.0k points)
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Best answer

Correct option is (A) 80°

\(\because\) Sum of adjacent angles in a parallelogram is \(180^\circ.\)

Since, \(\angle S\;\&\;\angle O\) are adjacent angles in parallelogram SOAP.

\(\therefore\) \(\angle S+\angle O\) = \(180^\circ\)

\(\Rightarrow\) \(\angle O=180^\circ-\angle O\) \(=180^\circ-100^\circ=80^\circ\)   \((\because\angle S=100^\circ)\)

+2 votes
by (38.9k points)

Correct option is   80°

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