Question

In the given figure AB // CD, BC // DE then find x, y.
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Answer 1

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

$x = \frac{105}{3} = 35$

Now Angle CDE = Angle BCD (By alternate angles )

= Angle CDE = BCD = 105

Now In triangle CDE

$= y + 24 + 105 = 180 \: \: (angle \: sum \: property) \\ = y + 129 = 180 \\ = y = 180 - 129 = 51$

Hence the value of x= 35 , y= 51

Hope it is helpful for you .

Answer 2

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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