JAMB Mathematics 2021 Objective — Question 7
Question 7 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2021 Objective paper, with the correct answer and a full explanation.
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7. [See diagram] The values of x° and y° are respectively (a) 30° & 150° (b) 36° & 144° (c) 72° & 108° (d) 60° & 120°
- A. 30° & 150°
- B. 36° & 144°Correct
- C. 72° & 108°
- D. 60° & 120°
Explanation
The sum of the exterior angles of the polygon (quadrilateral) shown = 360°, so 2x + 3x + x + x + 3 = 360 gives 10x = 360, x = 36. Since y and x lie on a straight line, y + 36 = 180, so y = 144. Thus x = 36°, y = 144°.
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