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°
• B. 60°
• C. 50°
• D. 90°

Answer 1

The correct option is A 45°

The sum of all the angles around a point = 360°

The amount of pie left for the guests = $\frac{3}{4}$

Thus, the angle of the remaining pie = $\frac{3}{4}$ × 360° = 270°

The number of sections in Brendan's pie = 6

Thus, the angle of each section = $\frac{270°}{6}$ = 45°

Hence, the angle of each section is 45°.