2014
Mathematics
67ca00ce0c643c71d77dee1f
In the figure above, KL//NM, LN bisects < KNM. If angles KLN is 54o and angle MKN is 35°, calculate the size of angle KMN.
A.
91°
B.
89°
C.
37°
D.
19°
Correct Answer: 37°
Explanation
In the diagram above, α = 54o(alternate angles; KL||MN) < KNM = 2α (LN is bisector of < KNM) = 108° 35° + < KMN + 108° = 180°(sum of angles of △ ) < KMN + 143° = 180° < KMN = 180° - 143° = 37°
In the diagram above, α = 54o(alternate angles; KL||MN) < KNM = 2α (LN is bisector of < KNM) = 108° 35° + < KMN + 108° = 180°(sum of angles of △ ) < KMN + 143° = 180° < KMN = 180° - 143° = 37°THIS WEEK's
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