$\"\"$

\

The measures of angles . $\"\"$ .

\

Now find the measure of two angles.

\

$\"\"$ (Apply Law of sines)

\

$\"\"$ (Substitute $\"\"$ )

\

$\"\"$

\

Apply Cross multiplication $\"\"$ then $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Divide each side by 38.

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

The sum of the angle measures of a triangle is $\"\"$ .

\

$\"\"$ (Substitute $\"\"$ )

\

$\"\"$

\

Subtract 160 from each side.

\

$\"\"$ \ \

\

$\"\"$

\

$\"\"$

\

$\"\"$ (Apply Law of sines)

\

$\"\"$ (Substitute $\"\"$ )

\

$\"\"$ \ \

\

Apply Cross multiplication $\"\"$ then $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Divide each side by 0.6427.

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

The values are $\"\"$ , $\"\"$ , and $\"\"$ .