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To find the missing angle measures, we can use the Triangle Sum Theorem which states that the sum of the angles in a triangle is always 180 degrees.
a. The equation to help solve for the missing angle measures can be written as:
k + l + j = 180
Substituting the given values of k, l, and j into the equation:
12x+1 + 16x-7 + 3x = 180
b. Combining like terms:
12x + 16x + 3x + 1 - 7 = 180
31x - 6 = 180
Solving for x:
31x = 186
x = 186/31
x = 6
Therefore, the value of x is 6, and using this value, we can find the missing angle measures.