Question

Three regular polygons fit together at one point without a gap. One is a square and one is a hexagon. How many sides does the third shape have?

Answer 1

Step-by-step explanation:

pentagon can fit in gap. third shape will have 5 sides.

Answer 2

each interior angle of hexagon = (6-2)x180÷6

= 120°

each angle of square =90°

each interior of third shape =360°- (90°+120°)

= 150°

each interior angle=180°-150°

= 30°

n = 360÷30 = 12 sides