Question

Use the diagram below to find the measure of angle L. O 174° 0 77o Not enough information given 0 154°

Answer 1

77 degrees

Step-by-step 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:

`\angle K=\angle L`

The sum of angles in a triangle is 180 degrees, therefore:

`\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=(154\degree)/(2) \\ \angle L=77\degree \end{gathered}`

The measure of angle L is 77 degrees.