Jambmaths question:
From the cyclic quadrilateral MNOP above, find the value of x
Option A:
16o
Option B:
25o
Option C:
42o
Option D:
39o
Jamb Maths Solution:
$\begin{align} & \text{Sum of opposite sides of cyclic quadrilateral are supplementary} \\ & \angle PMN+\angle PON=180{}^\circ \\ & (2x+18{}^\circ )+84{}^\circ =180{}^\circ \\ & 2x=180{}^\circ -84{}^\circ -18{}^\circ \\ & 2x=70{}^\circ \\ & x=35{}^\circ \\\end{align}$
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