Question

(you will get 100 points)please exppain with answer Question 6.

Answer 1

To prove that two lines are parallel, they need to fulfill any property of parallel angles.

In (i): 126° + 44° ≠ 180° (Property tried to use here: Two adjacent angles are supplementary)

Since it is not equal to 180°, the two lines are not parallel.

In (ii): 75° + 75° ≠ 180° (Property tried to use here: Vertically opposite angle are equal and two adjacent angles are supplementary)

Since it is not equal to 180°, the two lines are not parallel.

In (iii): 123° + 57° = 180° (Property used here: Vertically opposite angles are equal (applied for 57°) and two adjacent angles are supplementary)

In (iv): 72° + 98° ≠ 180° (Property tried to use here: Vertically opposite angles are equal and two adjacent angles are supplementary)

Since it is not equal to 180°, the two lines are not parallel.

Hope it helps :)

Answer 2

Hey mate !!!

Answer :-

(i) , (ii) ,(iv) are not  parallel  

As they don’t accept rules of parallel lines .

(iii) is parallel.

Hope this helps !