How many acute angles does a hexagon have?

2 Answers
Apr 15, 2018

See below


A hexagon has 720 degrees in total, if it is a regular hexagon then each angle would be 120, so none would be acute. But you could have 1, 2, 3, 4 or 5 acute angles. So the maximum number of acute angles is 5

Apr 15, 2018

See below.


Assuming you are talking about a regular hexagon, all #6# angles are not acute.

We know this because there are a total of #720^@# in a hexagon.

Because we know that, and that a hexagon has #6# angles, we can simply divide:


Since #120^@# is bigger than #90^@#, we know that all those angles are obtuse, not acute..