Question

ABCD is a rhombus in which angle CDB IS 55 degrees then find the angle A​

Answer 1

Answer:

Solution:

Given that ABCD is a rhombus and DAB =

70

Since, ABCD is a rhombus so

ABC L CDA

and 2 DCB = 2 DAB = 70°.. 1)

And we know that,

DAB+L ABC + L DCB +4 CDA 360

70°+ L ABC +70° +2 CDA = 360°

L ABC+ L CDA+ 140° 360

L ABC+L CDA = 360° - 1400°

L ABC + 2 CDA = 220

Since, 2 ABC = 2 CDA

So, 4 ABC +2 ABC 220°

24 ABC = 220°

L ABC = 110°

Thus,

CDB 1/2(4 ABC)

= 1/2(110)

L CDB =55

Answer.