Respuesta :

Answer:

[tex]A = 101.5825591635[/tex]°

Step-by-step explanation:

We can use the law of cosines.  We have a triangle with side lengths as attached. (See image.)

So we want to solve for angle A.

We do this by using:

[tex]cos(A)=(b^2 + c^2 - a^2) / (2bc)[/tex]

Here we have:

a = 36

b = 27

c = 19

So we plug in to get:

[tex]cos(A)=(27^2 +19^2-36^2)/(2*27*19)[/tex]

[tex]cos(A)=-0.20077972709[/tex]

[tex]A = 101.5825591635[/tex]°

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