Question

Angle L=

Answer 1

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:

$\angle L + 90 + 24 = 180$

$\angle L + 114 = 180$

Subtract 114 from both sides

$\angle L = 66$

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

$\cos(24) = \frac{8}{ML}$

Solve for ML

$ML = \frac{8}{\cos(24)}$

$ML = 8.76$

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

$\tan(24) = \frac{KL}{8}$

Solve for KL

$KL = 8 * \tan(24)$

$KL = 3.54$

Hence, the value of length KL is 3.54

Read more about right triangles at:

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