To solve for the missing angle measures, we can start by using the Triangle Sum Theorem, which states that the sum of the interior angles of a triangle is always 180 degrees.
Let's denote the missing angle measure as M. According to the Triangle Sum Theorem, we can write an equation:
M + J + L = 180
Given that J = 3x and L = 16x - 7, we substitute these values into the equation:
M + 3x + (16x - 7) = 180
Next, we combine like terms:
M + 3x + 16x - 7 = 180
M + 19x - 7 = 180
We can isolate M by moving the constant term to the other side of the equation:
M + 19x = 180 + 7
M + 19x = 187
To solve for x, we'll use inverse operations. First, subtract 19x from both sides:
M = 187 - 19x
Therefore, the equation that would help solve for the missing angle measure is M = 187 - 19x.