Answer:
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.
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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.
