Answer:
m<K = [tex]146^{o}[/tex]
Step-by-step explanation:
With the given conditions in the question, it would be observed that ΔJKL is an isosceles, since KL ≅ JK. So that JL is the base of the triangle:
m<J ≅ m<L = [tex]17^{o}[/tex] (base angle of an isosceles triangle are equal)
Then;
m<J + m<K + m<L = [tex]180^{o}[/tex] (sum of angles in a triangle)
[tex]17^{o}[/tex] + m<K + [tex]17^{o}[/tex] = [tex]180^{o}[/tex]
m<K + 34 = [tex]180^{o}[/tex]
m<K = [tex]180^{o}[/tex] - 34
m<K = [tex]146^{o}[/tex]
Thus, with respect to the given question, the measure of angle K is [tex]146^{o}[/tex]. Which is an obtuse angle of the triangle JKL.
