How many obtuse angles in a regular pentagon?
1 Answer
5
Explanation:
To find the number of obtuse angles in a regular pentagon, we first need to find the sum of the interior angles in a pentagon. We can calculate the sum by using the formula:
180^@(n-2)180∘(n−2)
where:
180^@(n-2)180∘(n−2)
=180^@((5)-2)=180∘((5)−2)
=180^@(3)=180∘(3)
=540^@=540∘
Since the pentagon is a regular polygon, this means that all of the
540^@-:5540∘÷5
=108^@=108∘
Since an obtuse is any angle greater than