Question

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Answer 1

Answer:

Step-by-step explanation:

In the first question,

To prove; PQ is parallel to RS

We know that,

angle PQR = 65

angle QRS= 35+30 = 65

Therefore, they are equal  and we know that alternate interior angles are equal. Thus, PQ is parallel to RS

In the second question,

To prove: RS is parallel to TU

angle TRS = 30

angle RTU= 150

Their sum is 180 and we know that, sum of co interior angles is 180.

Therefore, TU is parallel to RS.

Now, if pq is parallel to rs and rs is parallel to tu,

Then , PQ is parallel to TU.

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