Question

A circle piece of wax paper is folded along the diameter
4
times to create a measuring tool for angles that contains
16
wedges and each wedge has the same area.

image


What is the difference in the measurement between the largest obtuse and acute angles that can be measured?

A.
3
wedges

B.
4
wedges

C.
5
wedges

D.
6
wedges

Answer 1

Each wedge is 360/16 = 22.5°. The largest acute angle possible is 3·22.5° = 67.5° (4·22.5° = 90° is right), and the largest obtuse is 7·22.5° = 157.5° (8·22.5° = 180° is straight). The difference is 7 − 3 = 4 wedges.

Answer: B.