The angles of a quadrilateral are in AP whose common difference is 10∘. Find the smallest angle of the quadrilateral.
Answer:
75∘
- The angles of the quadrilateral are in AP with the common difference of 10∘.
Let the angles be x,x+10∘,x+20∘, and x+30∘. - We know that the sum of all angles of a quadrilateral is 360∘. Thus
- Let us now substitute the value of to get the four angles.
- Hence, the smallest angle of the quadrilateral is .