Question

calculating angle measures. what is the value of y? y =. find the following angle measures. m∠jkm =. m∠mkl =. (10y + 6)° (8y - 6)° j k l m

Explanation:

Step1: Use angle - sum property

Since $\angle{JKM}$ and $\angle{MKL}$ form a straight - line, their sum is $180^{\circ}$. So, $(10y + 6)+(8y - 6)=180$.

Step2: Simplify the left - hand side of the equation

Combine like terms: $10y+8y+6 - 6=180$, which simplifies to $18y=180$.

Step3: Solve for y

Divide both sides of the equation $18y = 180$ by 18: $y=\frac{180}{18}=10$.

Step4: Find $\angle{JKM}$

Substitute $y = 10$ into the expression for $\angle{JKM}$: $m\angle{JKM}=10y + 6=10\times10+6=106^{\circ}$.

Step5: Find $\angle{MKL}$

Substitute $y = 10$ into the expression for $\angle{MKL}$: $m\angle{MKL}=8y - 6=8\times10-6 = 74^{\circ}$.

Answer:

$y = 10$
$m\angle{JKM}=106$
$m\angle{MKL}=74$