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4, 16, 30, 20, 10, 14, and 26 are represented on a pie chart. Find the sum of the angles of the bisectors representing all numbers equals to or greater than 16

A. 48^o

B. 84^o

C. 92^o

D. 276^o

QUICK ANSWER…

D

DETAILS…

If 4, 16, 30, 20, 10, 14 and 26 are represented on a pie chart, the sum of the angles of the bisectors representing all numbers equals to or greater than 16 is 138.

Numbers equal or greater than 16 = 16, 30, 20, and 26

The sum of numbers equal or greater than 16 = 16 + 30 + 20 + 26 = 92

Sum of all the numbers = 4 + 16 + 30 + 20 + 10 + 14 + 26 = 120

The angle representing numbers that is equal or greater than 16 = 92/120 × 360

= 276⁰

The sum of the angle between the bisectors is also equal to 276⁰.

Now for the right answer to the above question:

1. Option A is incorrect.
2. Option B is not correct.
3. C is incorrect.
4. D is the correct answer.

KEY-POINTS…

You may please note these/this:

• Angle formed by one of the numbers = (the number / sum of all the numbers) × 360
• Sum of the angles of all the bisectors of the angles in a pie chart = sum of all the angles since it is formed within the circle.

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/ culled from 2021 JAMB-UTME MATHEMATICS question 22 /