Question

In Fig 8.118, transversal l intersects two lines m and n, ∠4= 110° and ∠7 = 65°. Is m||n?

Answer 1

ANSWER:

M||N =no

EXPLAINATION: FIRST METHOD:-

1. 4 = 110
2. 7 = 65
3. 5 = 65 (vertically opposite angle)
4. 110+65=175

these are not parallel because in the same side of transversal between the parallels sum of angles is 180.

• SECOND METHOD :-

1. 4 = 110
2. 7 = 65
3. 110+angle 3= 180( lenear pair)
4. angle3=70
5. angle3=angle7(if m||n,as these are corresponding angles.)

angle 3 is not equal to angle 7.

so m is not parallel to n.