Question

How to find the measure of L

Answer 1

Step 1:

In this question, we are given the following:

Step 2:

he deatails of the solution are as follows:

rom tjhe triangle, we can see that Traingle KLM is an isosceles triangle, such that Angle J = 52.3 degrees suchn that:

`Angle\text{ J = Angle K = 52. 3}^0(\text{ base angles are equal\rparen}`

Now, we have that:

`\begin{gathered} Angle\text{ J +Angle K + Angle L = 180}^0 \\ 52.\text{ 3}^0+52.\text{ 3}^0+\text{ Angle L = 180}^0 \\ 104\text{. 6 }^0+\text{ Angle L = 180}^0 \\ Angl\text{e L = 180}^0-104\text{. 6}^0 \\ Angle\text{ L = 75.4}^0 \end{gathered}`

ONCLSUSION:

The measure of Angle L =

`75.\text{ 4}^0`