Please help me to solve this . Thank you very much

Answers:

x = 12 and y = 10

Explanation:

Angle1 and angle2 are same side interior angles (aka consecutive interior angles).

Due to the parallel lines, same side interior angles will add up to 180 degrees. We consider them supplementary.

(angle1) + (angle2) = 180

(5x+5y)+(5x+y) = 180

10x+6y = 180

Also, the 70 degree angle and angle2 are congruent corresponding angles (also due to the parallel lines)

angle2 = 70

5x+y = 70

y = 70-5x

Let's plug this into the previous equation set up and solve for x.

10x+6y = 180

10x+6(70-5x) = 180

10x+420-30x = 180

-20x = 180-420

-20x = -240

x = -240/(-20)

x = 12

Then use this to find y.

y = 70-5x

y = 70-5*12

y = 70-60

y = 10

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.