From the cyclic quadrilateral MNOP above, find the value of x.
The correct answer is C. 42°
In a cyclic quadrilateral, the opposite angles are supplementary. That is, the sum of opposite angles is 180°.
(2x + 18)° + 84° = 180°
2x + 102° = 180° ⟹2x = 78°
x = 39°
In the given diagram, we have:
\(x + 90° + 50° + 25° = 180°\).
Simplify and solve for x:
\(x = 180° - 165° = 15°\).
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