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Four alternative answers for the following question is given. Choose the correct alternative. In ▢PQRS if ∠RSP = 80° then find ∠RQT? - Geometry Mathematics 2

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Question

Four alternative answers for the following question is given. Choose the correct alternative.

In ▢PQRS if ∠RSP = 80° then find ∠RQT?

Options

  • 100°

  • 80°

  • 70°

  • 110°

MCQ

Solution

80°

In ▢PQRS,

∠RSP = 80°       ...[Given] 

∠RQT = ∠RSP   ...[The exterior angle of a cyclic quadrilateral is equal to the interior opposite angle]

∴ ∠RQT = 80°.

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Corollary of Cyclic Quadrilateral Theorem
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Chapter 3: Circle - Q.1
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