Mathematics
JAMB 2014
In the figure above, KL//NM, LN bisects < KNM. If angles KLN is 54
o and angle MKN is 35
o, calculate the size of angle KMN.
-
A.
91o
-
B.
89o
-
C.
37o
-
D.
19o
Correct Answer: Option C
Explanation
In the diagram above, \(\alpha\) = 54
o(alternate angles; KL||MN) < KNM = 2\(\alpha\) (LN is bisector of < KNM) = 108
o
35
o + < KMN + 108
o = 180
o(sum of angles of \(\bigtriangleup\))
< KMN + 143
o = 180
o
< KMN = 180
o - 143
o
= 37
o
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