Question

Find the value of X and y ,

Answer 1

Answer:

X=20°

Given:

Lines L and M are parallel

One angle on line L=4x+20° and one angle on line M=6x-20°

To find:

The value of X

Solution:-

4x+20°=6x-20° {corresponding angles are equal}

20°+20°=6x-4x

40°=2x

20°=x

--------------------

X=20°

•4x+20°

=4×20+20°

=100°

•6x-20°

=6×20-20°

=100°

Answer 2

Answer: L = M = 100°

Step-by-step explanation:

Given that line  l and m are parallel to each other and there is lne that intersect both lines l and m.

Let L = 4x + 20

     M = 6x - 20

Since L and M are corresponding angles. We know that corresponding angles should be equal. We can say that,

L = M

4x + 20 = 6x - 20

20 + 20 = 6x - 4x

40 = 2x

2x = 40

x = 40/2

x = 20

L = (4×20) + 20

L = 80 + 20

L = 100°

And,

M = (6×20) - 20

M = 120 - 20

M = 100°