Question

Question 11

Answer 1

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 = $\frac{68^{\circ}}{4^{\circ}}$

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