Question

l ||m , p is the transversal intersecting l and m .if angle 1 = 5x-20 and angle 8 =40-3x then solve for x​

Answer 1

Answer:

x=80

Step-by-step explanation:

angle4=angle6. (alternate angles)

So, their exterior angles are also equal.

angle1=angle7__________________1.

Now angle8 and angle7 form linear pair.

So

angle8+angle7=180______________2.

40-3x+angle7=180

angle7=180-(40-3x)_______________3.

Putting value of equation 3 in 1,

5x-20=180-(40-3x)

5x-20=180-40+3x

5x-3x=160

2x=160

x=80

Hope this helps !!

Thanks !!