Question

the angle of an quadrilateral are in AP and the greatest angle is thrice the least angle find the angles of quadrilateral

Answer 1

let a1 be the first angle and the first term of ap and a2,a3,a4 the consecutive terms
sum of angles =360
given
3a1=a4
sum using first term and last term

=4/2 (a1+3a1)=360
16a1=720
a1=45
a4=135
=45+3d=135
3d=90
d=30
a1=45
a2=75
a3=105
a4=135