Question

Figure ABCD is a rhombus. Find CED
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Answer 1

Step-by-step explanation:

wheres the figure.pls show

Answer 2

Step-by-step explanation:

Answer

We know that all the sides are equal in a rhombus

Consider △ABD

We get

AB=AD and ∠ABD=∠ADB

It can be written as

x=y....(1)

Consider △ABC

We get

AB=BC and

∠CAB=∠ACB

We know that

∠ACB=40

o

by using the sum property of a triangle

∠B+∠CAB+∠ACB=180

o

By substituting the values in equation

∠B=40

o

+40

o

=180

o

∠B=180

o

−80

o

∠B=100

o

∠DBC can be written as

∠DBC=∠B−x

o

by sbstituting the values

∠DBC=100

o

−x

o

From the figure we know that ∠DBC and ∠ADB are alternate angles

∠DBC=∠ADB=y

o

by subsituting the value of ∠DBC

100

o

−y

o

=y

o

consider the equation (1) we know thatx=y

100

o

−x

o

=x

o

2x

o

=100

o

x

o

=50

o

therefore x=y=50

o