Question

6).In Figure AB || CD, the value of x is
A
B
140°
35°
D
O A) 35°
O B) 40°
O C) 60
O D) 75°​

Answer 1

Answer:

75

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Answer 2

Answer:

The value of x is $75$°.

Option D is correct.

Step-by-step explanation:

• Consider mid-point of$AB$ as $F$ and mid-point of $CD$ as $G$.

• Draw a line $NPM$ parallel to  $AFB$ and $CGD$.

• By using property of linear pair,

∠$AFP$ $+$ ∠$BFP = 180$°  

       $AFP + 140 = 180$°

           $AFP= 180-140$

            $AFP = 40$

• ∠$CGP =$ ∠$MPG = 35$°   (alternate interior angles)
• $AFP = MPB = 40$°        (alternate interior angles)
• $x = MPF + MPG$

    $x = 40 + 35$

    $x = 75$°

The value of $x = 75$°.

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