Question

in the fig find x and y and then show that ab parallel cd​

Answer 1

Step-by-step explanation:

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Given :

< 110°.

70°. and AB || CD.

To Find : Value of X and Y .

Solution : Y = 110 ( vertically opposite angles).

X = 110 ( corosponding angles ).

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Answer 2

ANSWER :-

• Valuuaof x = 110°
• Value of y =110°

TO FIND :-

• The value of angle x and y.
• And to prove AB || CD.

SOLUTION :-

▪︎x + 70° = 180° [ Linear pair ]

▪︎x = 180° - 70°

▪︎x = 110°

Here, $\angle$ 1 + 110° [ Linear pair ]

=> $\angle$ 1 = 180° - 110°

=> $\angle$ 1 = 70°

Again by linear pair,

=> $\angle$ 1 + y = 180°

=> y = 180° - 70°

=> y = 110°

Here we found,

=> x = y = 110°

Therefore, by alternate interior angle property,

AB || CD

HENCE PROVED

ADDITIONAL INFORMATION :-

Some propeties of parallel lines :-

• corresponding angle property.
• allied angle property.
• alternate interior angle property .
• vertically opposite angle property.
• alternate exterior angle property.
• linear pair property.