The angles of a quadrilateral are in arithmetic progression and their common difference is `10^(@)`. Find the angles.

Answer

N/a

Explanation

Let four angles a-3d, a-d, a+d, a+3d of quadrilateral are in A.P.
`therefore" "a-3d+a-d+a+d+a+3d=360^(@)`
`rArr" "4a=360^(@)`
`rArr" "a=90^(@)`
`"and common difference "2d=10^(@)`
`rArr" "d=5^(@)`
`therefore" Angles are "=90^(@)-5^(@)xx3,90^(@)-5^(@),90^(@)+5^(@),90^(@)+5^(@)xx3`
`=75^(@),85^(@),95^(@),105^(@).`