Find x if m<UKL = 13x-4, m<JKL = 20x+12, and m<JKU = 72
To find the value of x in this problem, we can set up an equation using the given angles and their measures.
We know that m<UKL = 13x - 4, m<JKL = 20x + 12, and m<JKU = 72.
Since angles UKL and JKL form a straight line, their sum is equal to 180 degrees. Therefore, we can write the equation:
m<UKL + m<JKL = 180
Substituting the given angle measures:
(13x - 4) + (20x + 12) = 180
Combine like terms:
33x + 8 = 180
Subtract 8 from both sides:
33x = 172
Divide by 33:
x = 172/33
The value of x is approximately 5.212.