In the diagram above, l1 is parallel to l2, Find the value of < PMT

Assessment: JAMB UTME - Mathematics - 2016 Subject: General Mathematics

Question 1 Report

82o

36o

72o

118o

Answer Details

< MPT = $180^{\circ}$ - $118^{\circ}$ = $62^{\circ}$
< PML = $62^{\circ}$ (Alternating angles)
y + 2y + $10^{\circ}$ + $62^{\circ}$ = $180^{\circ}$ (Angles on a straight line)
3y = 180 - 72
$\frac{3 y}{3}$ = $\frac{108}{3}$
y = $36^{\circ}$
< PMT = 2y + 10 = 2(36) + 10 = $82^{\circ}$

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Triangles And Polygons

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