Question

27. In the given figure,
7. In the give
w the given figure, ADI AB, AD||BC. If ZBDC = 32° and x:y= 11:19, then find ZDCE​

Answer 1

Answer:

hey mate...

I'm trying to help you...

I think here is your answer...

Step-by-step explanation:

Final result is: DCE=65°

See the process Step by step...

Let x = 11a and y = 19a

In right ∆BAD, we have A = 90°

also, x+y+A = 180° (angle sum property)

x+y+90°=180°

x+y=90°

11a+19a=90°

30a=90°

a=3°

x=11a = 11×3=33, y=19a = 19×3=57°

since AD||BC and BD cuts them,

DBC = x = 33°

DCE = 32° + DBC

DCE = 32° + 33° = 65°

DCE = 65°

Answer is:65°

It may be helpful for you.

Thank you!