Answer:
77 degrees
Explanation:
In the diagram:
KM = LM = 15 inches
This means that triangle KLM is an Isosceles Triangle.
In an Isosceles Triangle, the base angles are equal.
Therefore:
[tex]\angle K=\angle L[/tex]
The sum of angles in a triangle is 180 degrees, therefore:
[tex]\begin{gathered} \angle K+\angle L+\angle M=180\degree \\ \angle L+\angle L+26\degree=180\degree\text{ (}\angle K=\angle L) \\ 2\angle L=180\degree-26\degree \\ 2\angle L=154\degree \\ \angle L=\frac{154\degree}{2} \\ \angle L=77\degree \end{gathered}[/tex]
The measure of angle L is 77 degrees.
