JAMB Mathematics 2015 Objective — Question 26

Question 26 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2015 Objective paper, with the correct answer and a full explanation.

In the figure, KL∥MN, LN bisects ∠KNM. If angle KLN is 54° and angle MKN is 35°, calculate the size of angle KMN.

• A. 91°
• B. 19°
• C. 37°Correct
• D. 89°

Explanation

∠LNM = 54° (alternate to ∠KLN); LN bisects ∠KNM so ∠KNL=∠LNM=54°, giving ∠KNM=108°. In triangle KMN: ∠KMN = 180°−108°−35° = 37°.

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