Question

Jim comes across the following pattern while studying polygons in geometry. What could the next number be?

• A. 115
• B. 120
• C. 150
• D. 180

Answer 1

The correct option is B 120

The numbers can be seen as interior angles in a regular polygon.

$60°⟹\text{Angle in an equilateral triangle}$
$90°⟹\text{Angle in a square}$
$108°⟹\text{Angle in a regular pentagon}$

Hence, the next number would be:

$120°⟹\text{Angle in a regular hexagon}$