JAMB - Mathematics (2016 - No. 8)

In the diagram above, l1 is parallel to l2, Find the value of < PMT
82o
36o
72o
118o

Explanation

< 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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