Answer:
x=40
Step-by-step explanation:
(A) x=40
Step-by-step explanation:
Given: It is given that m is parallel to n.
To find: The value of x.
Proof: It is given that m is parallel to n, from the figure it can be seen that 105° and (3x-15)° forms alternate exterior angles which are equal in measure because m is parallel to n.
Thus, 105^{\circ}=3x-15^{\circ}
⇒105^{\circ}+15^{\circ}=3x
⇒120^{\circ}=3x
⇒\frac{120}{3}=x
⇒x=40
Thus, the value of x is 40, hence option A is correct.