a. Write an equation that would help you solve for the missing angle measures. Combine Like Terms! Remember the Triangle Sum Theorem.
b. Solve the equation to find the value of x.
k=12x+1
l=16x-7
j=3x
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.