Question

ans only if u know......
make sure your ans is :-
$x = 40 \: degrees$
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Answer 1

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Answer 2

Answer:

Const. - Draw a line PQ through E such that AB || PQ || CD

Now ,

Since , AB || PQ (By Const.)

So,. AB || PE and BE is transversal.

angle(ABE + PEB) = 180° (Corresponding ang.)

120° + angle PEB= 180°

AnglePEB = 180° - 120° = 60°

Again ,

CD || PQ ( by const. )

So, CD || EQ and CE is transversal .

Angle (DCE + QEC ) = 180° ( corresponding Angle )

100° + angle QEC = 180°

angle QEC = 180° - 100° = 80°

Now,

Angle(PEB + BEC + QEC ) = 180° ( Straight line property )

60° + x + 80° = 180°

x = 180° - 140° = 40° Ans...