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5x
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Question:-
In fig 22.31 (i)-(ii),lines l and m are parallel to each other.Find the value of x in both figures.
Answer:-
i)Value of x = 50
ii)Value of x = 30
Explanation:-
i)
Given :
- l ║ m
- ∠1 = 2x + 30
To Find :
- The value of x
Solution :
∠1 = 2x + 30
∠1 = ∠2 [ Corresponding angles are equal ]
∴ ∠2 = 2x + 30
∠2 + ∠x = 180°
⇒ 2x + 30 + ∠x = 180°
⇒ 3x = 180° - 30
⇒ ∠x = 150/3
∴ x 50
ii)
Given :
- l ║ m
- ∠1 = 2x + 30
To Find :
- Value of x
ii) ∠1 and x are co - interior angles.
Sum of the co - interior angles is 180
⇒ x + 5x =180
⇒ 6x = 180
⇒ x = 180/60
⇒ x = 30
(figure in attachment)
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