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From the cyclic quadrilateral MNOP above, find the value of x.

From the cyclic quadrilateral MNOP above, find the value of x.

  • A.
    16°
  • B.
    25°
  • C.
    42°
  • D.
    39°
Correct Answer: Option D
Explanation

The sum of two opposite angles of a cyclic quadrilateral = 180°

(therefore) (2x + 18)° + 84° = 180°

2x + 102° = 180° (implies) 2x = 78°

x = 39°

There is an explanation video available below.

Explanation Video