Question

number of acute, obtuse, and right angle in the shape of pentagon​

Answer 1

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Number of obtuse angle in Pentagon :- 5

An obtuse is any angle greater than 90∘ but less than 180∘ , this means that 108∘ must be an obtuse angle. Since there are 5 108∘ angles in a pentagon, then there are 5 obtuse angles in a regular pentagon.

Number of acute angle in Pentagon:- 0

If it is a regular pentagon, there are 0 acute angles because each angle in a regular pentagon is 108°. If on the other hand it is an irregular pentagon, then there can be up 4 acute angles.

Number of right angle in Pentagon:- 3

Well we know that the sum of the interior angles is 540.

Let’s try 5 right angles. No good. The sum would only be 450.

Let’s try 4 right angles. Their sum would be 360, which means the 5th angle must be 180. Very interesting. This answer is not correct, but it provides some wisdom. It tells us if that 5th angle is 180, then the figure is a quadrilateral and 4 right angles are possible.

Let’s try 3 right angles. They add to 270, so the other 2 must add to 270. Maybe 135 and 135. That’s it. 3.