Answer:
The measure of the angles are:
J = 48
K = 57
L = 75
Step-by-step explanation:
In order to find the measure of these angles, we first have to set J as x. With this fact, we can then find the measure of all of these angles using their descriptions.
J = x
K = x + 9
L = 2x - 21
Now knowing all of this, we can add them all together and set equal to 180.
x + x + 9 + 2x - 21 = 180
4x - 12 = 180
4x = 192
x = 48
Now that we have the measure of x, we can solve the rest.
J = x = 48
K = x + 9 = 48 + 9 = 57
L = 2x - 21 = 2(48) - 21 = 96 - 21 = 75
