Jambmaths question:

In the diagram above l1 is parallel to l2. Find the value of $\angle PMT$
Option A:
82o
Option B:
36o
Option C:
72o
Option D:
118o
Jamb Maths Solution:
$\begin{align} & \angle ABM=\angle BMD\text{ }\!\!\{\!\!\text{ Alternate angles} \\ & \angle BMD={{118}^{\circ }} \\ & {{(2y+10)}^{\circ }}+{{y}^{\circ }}={{118}^{\circ }} \\ & y=36 \\ & \angle PMT=2y+10={{[2(36)+10]}^{\circ }}={{82}^{\circ }} \\\end{align}$
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