find the value of x in the figure given below using properties of kite : DAB = 95 degree, DCB = 55 degree.Moderators help
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Step-by-step explanation:
Answer
If DE∣∣AB, then ΔCDE∼ΔABC
By property of similar triangles:
AC
CD
=
BC
CE
⟹
4x+22
x+3
=
4x+4
x
Cross-multiplying:
(x+3)(4x+4)=x(4x+22)
⟹4x
2
+16x+12=4x
2
+22x
12=6x⟹
x=2
Answered by
0
Step-by-step explanation:
The given figure is of a kite.
So, their one pair of opposite angles will be equal, that is non vertex angles
y,110
o
are non vertex angles while x,60
o
are vertex angles
⇒y=110
∘
From sum properties of quadrilateral
110° +60° +y+x=360°⇒110π +60∘ +110° +x=360∘
⇒x=360∘ −280∘ =80∘
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