Question

8.
Find the value of x. The diagram is not to scale.

Note: line L parallel toLine M

Answer 1

40
20
140
160

Answer 2

according to property of parallel lines, u get 2x=40
can u find x from here ?

Answer 3

is the x 40

Answer 4

no, 2x = 40
now divide 2 on both sides

Answer 5

so it would be 20

Answer 6

yup

Answer 7

okay thank you, can you help me with one more ?

Answer 8

sure :)

Answer 9

9. Which lines are parallel if m<1+m<2=180 Justify your answer.

Answer 10

j || k, by the Converse of the Same-Side Interior Angles Theorem
j || k, by the Converse of the Alternate Interior Angles Theorem
g || h, by the Converse of the Alternate Interior Angles Theorem
g || h, by the Converse of the Same-Side Interior Angles Theorem

Answer 11

u know the difference between same side interior and alternate interior ?

Answer 12

no they confuse me a little

Answer 13

alternate angles form a 'z'.
here they don't form a 'z'
so its 'j || k, by the Converse of the Same-Side Interior Angles Theorem'
because those angles are same side of lines j and k

Answer 14

Oh okay that makes more sense thank you

Answer 15

http://www.mathsisfun.com/definitions/alternate-interior-angles.html

Answer 16

Thank you