Figure ABCD is a rhombus. Find CED
Answers
Answered by
0
Step-by-step explanation:
wheres the figure.pls show
Answered by
0
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
Similar questions