Answer:
The value of x for the given transversal line t and parallel lines w , v is 17
Step-by-step explanation:
Given as :
The two parallel lines are w and v
The tow parallel lines are transversal intersecting by another line t at two points as show
Let The angle made by transversal when intersecting the line w is ∠a
And The angle made by transversal when intersecting the line v is ∠b
∵ line w ║ line v
∴ ∠a = ∠b ( corresponding lines axiom )
So, from figure
(4 x - 3)° = 65°
Or, 4 x = 65° + 3°
Or, 4 x = 68°
∴ x = [tex]\frac{68^{\circ}}{4^{\circ}}[/tex]
I.e x = 17
So, The value of x = 17
Hence The value of x for the given transversal line t and parallel lines w , v is 17 . Answer
