• The angles of a quadrilateral are in A.P. The greatest angle is th

1.	• The angles of a quadrilateral are in A.P. The greatest angle is thrice theleast angle. Find the greatest angle.
Answer» 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)=36016a1=720a1=45a4=135=45+3d=1353d=90d=30a1=45a2=75a3=105a4=135

• The angles of a quadrilateral are in A.P. The greatest angle is thrice theleast angle. Find the greatest angle.

Answer»

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)=36016a1=720a1=45a4=135=45+3d=1353d=90d=30a1=45a2=75a3=105a4=135