EXERCISE 6.2
1. In Fig. 6.28, find the values of x and y and then
show that ABCD
50
B
196
30
130-
Fig. 6.28
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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) ]
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