Right triangles are triangles that have one of its angles to be 90 degrees
How to calculate angle L
The angles in a triangle add up to 180 degrees.
So, we have:
[tex]\angle L + 90 + 24 = 180[/tex]
[tex]\angle L + 114 = 180[/tex]
Subtract 114 from both sides
[tex]\angle L = 66[/tex]
Hence, the measure of angle L is 66 degrees
How to calculate side ML
To do this, we make use of the following cosine ratio
[tex]\cos(24) = \frac{8}{ML}[/tex]
Solve for ML
[tex]ML = \frac{8}{\cos(24)}[/tex]
[tex]ML = 8.76[/tex]
Hence, the value of length ML is 8.76
How to calculate side KL
To do this, we make use of the following tangent ratio
[tex]\tan(24) = \frac{KL}{8}[/tex]
Solve for KL
[tex]KL = 8 * \tan(24)[/tex]
[tex]KL = 3.54[/tex]
Hence, the value of length KL is 3.54
Read more about right triangles at:
https://brainly.com/question/2437195