Answer:
As per the properties of parallel lines and interior alternate angles postulate, we can prove that:
Step-by-step explanation:
<u>Given:</u>
Line y || z
i.e. y is parallel to z.
<u>To Prove:</u>
<u>Solution:</u>
It is given that the lines y and z are parallel to each other.
are <em>interior alternate angles </em>because lines y and z are parallel and one line AC cuts them.
So, ..... (1)
Similarly,
are <em>interior alternate angles </em>because lines y and z are parallel and one line AB cuts them.
So, ...... (2)
Now, we know that the line y is a straight line and A is one point on it.
Sum of all the angles on one side of a line on a point is always equal to .
i.e.
Using equations (1) and (2):
We can see that:
<em>Hence proved.</em>