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Question

Brendan is hosting a dinner party. He bakes a key lime pie for dessert. He gives his younger sister one-fourth of the pie and divides the rest into six equal slices.
What is the angle of each of the six slices?

A
45°
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B
60°
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C
50°
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D
90°
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Solution

The correct option is A 45°
The sum of all the angles around a point = 360°

The amount of pie left for the guests = 34

Thus, the angle of the remaining pie = 34 × 360° = 270°

The number of sections in Brendan's pie = 6

Thus, the angle of each section = 270°6 = 45°

Hence, the angle of each section is 45°.

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