Question

If l is parallel to m, m<4=15x-7, m<6=20x+12, then m<8=?? Diagram attached below.

Answer 1

Do you see any relation between m<4 and m<6 ?

Answer 2

look at the diagram

Answer 3

same side angles that are equal; correct?

Answer 4

Nope

Answer 5

m<4 and m<7 are equal however

Answer 6

Do you know what supplementary angles are?

Answer 7

Two angles that add up to 180 degrees, so if m<4 and m<7 are equal, and you know that m<7 + m<6 = 180 (look at the diagram)

Answer 8

You are given what m<6 equals

Answer 9

and what m<4 equals

Answer 10

So 15x-7 + 20x +12 = 180

Answer 11

Add like terms

Answer 12

ohhh

Answer 13

Solve for x

Answer 14

then look at the diagram, angle 6 and angle 8 are vertical angles, vertical angles have the same measurements!

Answer 15

So once you know what x equals, simply plug that into the equation for the m<6, and that is what m<8 equals! :D

Answer 16

gotcha

Answer 17

;)

Answer 18

thanx