Answer:
The found values are:
y = 10
<JKM = 106°
<MKL = 74°
Step-by-step explanation:
(See the diagram attached)
As JKL is a straight horizontal line, angle measure from JK to KL is 180°.
We can see in the diagram that line KM is dividing this angle of 180° into 2 unequal parts.
Which means that the sum of <JKM and <MKL is equals to 180°.
Mathematically, it can be written as:
[tex]<JKM+<MKL=180^\circ\\\\[/tex]
Substitute the values of both angle to solve the equation:
[tex](10y+6)+(8y-6) = 180\\18y=180\\y=\frac{180}{18}\\y=10[/tex]
Put in the formulas of both angle to find their values:
<JKM = 10y + 6
<JKM = 10(10)+6
<JKM = 106°
<MKL = 8y - 6
<MKL = 8(10)-6
<MKL = 74°
