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2016
Mathematics
JAMB
In the diagram above, l
1
is parallel to l
2
, Find the value of < PMT
A.
82°
B.
36°
C.
72°
D.
118°
Correct Answer:
82°
Explanation
< MPT = 180° - 118° = 62° < PML = 62° ( Alternative angle) y + 2y + 10° + 62° = 180° (Angles on a straight line) 3y = 180 - 72 3y/3 = 108/3 y = 36° < PMT = 2y + 10 = 2(36) + 10 = 82°
< MPT = 180° - 118° = 62° < PML = 62° ( Alternative angle) y + 2y + 10° + 62° = 180° (Angles on a straight line) 3y = 180 - 72 3y/3 = 108/3 y = 36° < PMT = 2y + 10 = 2(36) + 10 = 82°
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