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Question
In a quadrilateral MIST, MI = 3.5 cm, IS = 6.5 cm, ∠M = 75∘, ∠I = 105∘ and ∠S = 120∘. Which of the given line segments could be drawn first to construct the quadrilateral ?
In a quadrilateral MIST, MI = 3.5 cm, IS = 6.5 cm, ∠M = 75∘, ∠I = 105∘ and ∠S = 120∘. Which of the given line segments could be drawn first to construct the quadrilateral ?
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Solution
The correct options are
B IS
C IM
The line segment for which both the angles are given should be drawn first. For e.g. in the case of line segment MI, both angles M and I are known. Similarly, for IS, the angle I and S are known. Thus, either MI or IS can be drawn, because angles at both end points of both line segments are known.
B
IS
C
IM
The line segment for which both the angles are given should be drawn first. For e.g. in the case of line segment MI, both angles M and I are known. Similarly, for IS, the angle I and S are known. Thus, either MI or IS can be drawn, because angles at both end points of both line segments are known.
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