Step by step
The question
Question: find x.
The two lines are parallel.
The alternate angles are x and 65°.
1 Use the angle fact
The arrows show the two lines are parallel.
Parallel lines go the same way.
They never meet.
A third line crosses both of them.
It is called a transversal.
Our two angles are between the parallel lines, on opposite sides of the transversal.
They are called alternate angles.
Together they make a Z shape.
Alternate angles are equal.
Why?
Look at this angle at the top.
It is in the same place as the bottom angle, so they are equal.
It is also opposite our top angle, so they are equal too.
So the two angles are equal: x = 65.
x = 65
Answer
x = 65