JAMB Mathematics 2010 Objective — Question 29

Question 29 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2010 Objective paper, with the correct answer and a full explanation.

29. The interior angles of a quadrilateral are (x+15), (2x-45), (x-30) and (x+10). Find the value of the last interior angle. A. 112 B. 102 C. 82 D. 52

A. 112
B. 102
C. 82
D. 52Correct

Explanation

(n-2)180 is the sum of interior angles for any n-sided polygon. n=4 for quadrilateral: 360. x+15+2x-45+x-30+x+10=360. 5x-50=360. x=82. Least = x-30 = 82-30=52.

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