Question

1. In Fig. 6.28, find the values of x and y and then
show that AB II CD​

Answer 1

Answer:

1. In Fig. 6.28, find the values of x and y and then

show that AB II CD

Step-by-step explanation:

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

\mathbb{SOLUTION}SOLUTION :

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

→ 50° + x = 180°

→ x = 180° - 50°

→ x = 130°

Now,

\angle{x}∠x = 130°

\therefore∴ \angle{x}∠x = \angle{CQF}∠CQF = 130°

And

\angle{CQF}∠CQF = \angle{y}∠y [ \therefore∴ Vertically opposite angles ]

Hence,

x = y = 180°

so, they are alternate interior angles

[ \therefore∴ AB ll CD (verified) ]

Answer 2

Answer:

X+50=180(linear pair)

X=180-50=130⁰

Y=130⁰(vertically opposite angles)