Four angles are in geometric progression and their sum is 325°. If the greatest angle in radian to the least angle in degree is as 3π to 160, then find the angles.
Answers
Answered by
2
Let the four angles of a quadrilateral are
(a−3d)∘, (a−d)∘, (a+d)∘ and (a+3d)∘
∴a−3d+a−d+a+d+a+3d=360∘⟹a=90∘
But the greatest angle is double the least, i.e.,
a+3d=2×(a−3d)=2a−6d
∴9d=2a−a=a=90∘
∴d=990=10∘
∴ Least angle a−3d=90∘−3×10∘
=60∘=3π
Similar questions