In the given figure AB // CD, BC // DE then find x, y.
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Answer:
Given-
AB || CD , BC || DE and angle BCD = 105
To find -
The value of x and y in given figure .
Explanation -
angle ABC = angle BCD ( Alternate angles are equal )
Angle ABC = BCD = 105
= 3x = 105
[tex]x = \frac{105}{3} = 35[/tex]
Now Angle CDE = Angle BCD (By alternate angles )
= Angle CDE = BCD = 105
Now In triangle CDE
[tex] = y + 24 + 105 = 180 \: \: (angle \: sum \: property) \\ = y + 129 = 180 \\ = y = 180 - 129 = 51[/tex]
Hence the value of x= 35 , y= 51
Hope it is helpful for you .
Answer:
Angle ABC equals to angles BCD by alternate interior angle.
Angle ABC=BCD=105
=3x=105
x=105/3=35
So,x=35.
Angle CDE=angle BCD (alternate angles).
y+24+105=180(Angle Sum Property
=y+129=180
=y=180-129=51
So,y=51.
HENCE THE VALUE OF X=35 & Y=51
I Hope hepful
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