Question

in fig. 6.28, find the value of x and y and then show that AB||CD

Answer 1

angle Y is 130 because of opposite angles are equal
angle X is 130 because X and 50 are in straight line so, x = 180 - 50

Answer 2

figure 6.28 find the value of x and y and show that AB ll CD.

$\mathbb{SOLUTION}$:


$\angle{EOA}$ + $\angle{x}$ = 180° [ $\therefore$ liner pair ]

→ 50° + x = 180°

→ x = 180° - 50°

→ x = 130°

Now,
$\angle{x}$ = 130°


$\therefore$ $\angle{x}$ = $\angle{CQF}$ = 130°

And
$\angle{CQF}$ = $\angle{y}$ [ $\therefore$ Vertically opposite angles ]


Hence,
x = y = 180°
so, they are alternate interior angles

[ $\therefore$ AB ll CD (verified) ]