JAMB Mathematics 2009 Objective — Question 26

Question 26 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2009 Objective paper, with the correct answer and a full explanation.

In the figure above TS is parallel to XY and XY=TY, angle STZ=34, angle TXY=47, find the angle marked n

• A. 47
• B. 52Correct
• C. 56
• D. 99

Explanation

Angle X+angle T+angle Y = 180 (sum of angles in triangle). Angle X = angle T = 47 (isosceles triangle). Angle Y = 180-2(47) = 86. By alternating angles, 34+n = 86. n=86-34=52.

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