The measure of m<K is 91.79 degrees
Cosine rule
To get the measurement of m<K, we will use the cosine rule formula as shown:
- [tex]k^2 = l^2 + m^2 - 2abcos \ m\angle K[/tex]
Substitute the given parameters
[tex]13^2=10^2+8^2-2(10)(8)cos m\angle K\\169 = 164 - 160cosK\\5 = -160cosK\\K = 91.79^0[/tex]
Hence the measure of m<K is 91.79 degrees
Learn more on cosine rule here: https://brainly.com/question/7872492
