Multiple choice

Consider the following statements: 1. The opposite angles of a cyclic quadrilateral are supplementary. 2. Angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle. Which one of the following is correct in respect of the above statements?

  1. $Statement-1\Rightarrow statement-2$
  2. $Statement-2\Rightarrow statement-1$
  3. Neither $Statement-1\Rightarrow statement-2$ nor $Statement-2\Rightarrow statement-1$

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement 2 (angle at center is double the angle at circumference) is a fundamental theorem that can be used to prove Statement 1 (opposite angles of cyclic quadrilateral are supplementary).

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