Question

Question #a5a1b

Answer 1

The smallest angle is `9^0`

Explanation:

`(2 pi)/5=(2*180)/5=72^0`

Let the bigger acute angle is `x^0` , then the shorter acute

angle is `(90-x)^0`, since sum of the two acute angles is

`180-90=90^0`, by given condition `x- (90-x) = 72` or

`2x- 90 = 72 or 2x = 90+72 or 2x =162 or x = 81^0`

`:. 90 - x = 90-81=9^0` . Hence the smallest angle is `9^0` [Ans]