Question

In quadrilateral ABCD, the angles at the vertices A, B and C are in the ratio of 1:3:7, find the angle at the vertex C and the ratio of Angle C to angle D, given that the sum of Angles at the vertices A, B and C is 187°,242°and 275°

Answer 1

Answer:

In ΔABD and ΔBAC

AD=BC [given]

AB=AB [common]

BD=CA [given]

ΔABD≅ΔBAC (By SSS congruence)

∠ADB=∠BCA (cpct)