Regular Polygons Hugging

Geometry Level 1

The picture above shows a square, an equilateral triangle and a regular pentagon. Find the blue angle in degrees.


The answer is 102.

Jack Sacks by Jack Sacks , 18, United Kingdom

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2 solutions

Achille 'Gilles'
Feb 26, 2016

Interior angles of a:

• Square are 90°

• Equilateral Triangle are 60°

• Pentagon are 108°

So 360° - (90°+60°+108°) = 102°

9 Helpful 0 Interesting 0 Brilliant 0 Confused
Jack Sacks
Feb 13, 2016

Angles around a point are 360°. Interior angles of a square are 90°. Interior angle of an equilateral triangle are 60°. Interior angles of a regular pentagon are 108°. 360-90-60-108=102.

5 Helpful 0 Interesting 0 Brilliant 0 Confused

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