passpadi

2019

Mathematics

67ca00ce0c643c71d77dee1f

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

A.

16°

B.

25°

C.

42°

D.

39°

Correct Answer: 39°

Explanation

The sum of two opposite angles of a cyclic quadrilateral = 180° ∴ (2x + 18)° + 84° = 180° 2x + 102° = 180° ⟹ 2x = 78° x = 39°

The sum of two opposite angles of a cyclic quadrilateral = 180° ∴ (2x + 18)° + 84° = 180° 2x + 102° = 180° ⟹ 2x = 78° x = 39°
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