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AP EAMCET2001MathematicsTrigonometric Ratios & Identities

If A, B, C, D are angles of a cyclic quadrilateral, then A+ B+ C+ D is equal to

Options

  1. A0
  2. B1
  3. C-1
  4. D4

Correct answer

A. 0

Step-by-step solution

We have, A+ C=180^ and B+ C=180^ aligned & Now, A+ C+ B+ D & =2 A+C 2 A-C 2 +2 B+D 2 B-D 2 & =2 90^ A-C 2 +2 90^ B-D 2 =0 aligned

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