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In the diagram above l1 is parallel to l2 Find ... - JAMB Mathematics 2016 Question

In the diagram above, l1 is parallel to l2, Find the value of < PMT
A
82o
B
36o
C
72o
D
118o
correct option: a

< MPT = 180o - 118o = 62o

< PML = 62o ( Alternative angle)

y + 2y + 10o + 62o = 180o (Angles on a straight line)

3y = 180 - 72

(\frac{3y}{3}) = (\frac{108}{3})

y = 36o

< PMT = 2y + 10 = 2(36) + 10 = 82o

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