Hey there!
The sum of angles in a triangle ALWAYS adds up to 180 degrees.
So, we can set the expressions equal to eachother, and solve for x:
6x - 5 + x + 8 + 2x - 3 = 180
Add like terms:
9x = 180
Divide both sides by 9:
x = 20
Now, we plug x into the expressions to find their angle values:
m∠J = x + 8
m∠J = 20 + 8
m∠J = 28
m∠K = 6x - 5
m∠K = 6(20) - 5
m∠K = 120 - 5
m∠K = 115
m∠L = 2x - 3
m∠L = 2(20) - 3
m∠L = 40 - 3
m∠L = 37
Have a super awesome day! :)
