Question

2 fill in the blank 1 point if (mangle mkl = 83^{circ}), (mangle jkl = 127^{circ}), and (mangle jkm=(9x - 10)^{circ}), find the value of (x).

Explanation:

Step1: Use angle - addition postulate

We know that \(m\angle JKL=m\angle JKM + m\angle MKL\).
So, \(127=(9x - 10)+83\).

Step2: Simplify the right - hand side

Combine like terms: \((9x - 10)+83=9x+(83 - 10)=9x + 73\). So the equation becomes \(127=9x + 73\).

Step3: Solve for \(x\)

Subtract 73 from both sides: \(127-73=9x+73 - 73\), which gives \(54 = 9x\). Then divide both sides by 9: \(\frac{54}{9}=x\).

Answer:

\(x = 6\)