In fig angle 1 = angle 3, angle 2= angle 4. DE = 4, CE= x+1, AE = 2x+4; BE = 4x-2. Find x
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26
Answer:
X=3
Step-by-step explanation:
In DEC, & AEC,
angle 1=angle 3,angle2= angle 4,angle DEC=angle AEB
so, both triangles are similar
By AAA rule,
DE/BE=CE/AE
4/(4x-2)=(x+1)/(2x+4)
by cross multiplication, lastly get a quadratic equation,
2xsquare-3x-9=0
solving we get, x=3 , -3/2
taking x=3
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14
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