Given: y ll z Prove: m25+ m2 2 + m26 = 180°
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Assemble the proof by dragging ties to
the Statements and Reasons columns.

As per the properties of parallel lines and interior alternate angles postulate, we can prove that:

Step-by-step explanation:

Given:

Line y || z

i.e. y is parallel to z.

To Prove:

Solution:

It is given that the lines y and z are parallel to each other.

are interior alternate angles because lines y and z are parallel and one line AC cuts them.

So, ..... (1)

Similarly,

are interior alternate angles 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:

Hence proved.