Question

In quadrilateral ABCD, Angle BAD = Angle ADC, Angle ABD = Angle BCD, AB = 40, BD = 50 and BC = 30. Find the length of CD. ​

Answer 1

Answer:

40 cm please mark me as brainlisk

Answer 2

Given:

Quadrilateral ABCD

∠BAD = ∠ADC

∠ABD = ∠BCD

AB = 40

BD = 50

BC = 30

To Find:

length of CD

Solution:

In the given quadrilateral ABCD, we know that ∠BAD = ∠ADC,∠ABD = BCD.

Now,

using sum of all the Sides of a quadrilateral

BC + CD + BD+ AB = 180°

30 + CD + 50 + 40 = 180°

120 + CD = 180

CD = 180 - 120

CD = 40

Therefore, the length of CD is 40cm.