Find the values of x and y. in triangle jkl, jk = kl, angle j = 2x-y, angle k = 2x+2y, and angle l = x+2y.

Step-by-step explanation:

The relationship of sides tells you that angle L is congruent to angle J, so ...

  x +2y = 2x -y

  3y = x . . . . . . . . add y-x to both sides

The sum of angles in a triangle is always 180 degrees, so ...

  (2x -y) +(2x +2y) +(x +2y) = 180

  5x +3y = 180 . . . . simplify

  5x +x = 180 . . . . . substitute for 3y using the above relation

  x = 180/6 = 30

  y = x/3 = 10

The values of x and y are 30 and 10, respectively.

Check

  J = 2(30) -10) = 50

  K = 2(30+10) = 80

  L = 30 +2(10) = 50

Angles J and L have the same measure, and the sum of all is 180.

all the angles opposite to the angle 150 would be 150 and all the angles that are next to 150 are 30 because they equal 180 it you add it up.

step-by-step explanation: