$\"\"$

\

Observe the figure:

\

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

\

Find the angle $\"\"$ .

\

The sum of the angles in a triangle is $\"\"$ .

\

$\"\"$

\

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

\

$\"\"$ (Add: $\"\"$ )

\

$\"\"$ (Subtract $\"\"$ from each side)

\

$\"\"$ (Apply additive inverse property: $\"\"$ )

\

$\"\"$ (Subtract: $\"\"$ )

\

Therefore, the measure of $\"\"$ . $\"\"$

\

Find $\"\"$ .

\

$\"\"$ (Defintion of sine)

\

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

\

$\"\"$ (Use calculator)

\

$\"\"$ (Find the cross product)

\

$\"\"$ (Divide each side by $\"\"$ )

\

$\"\"$ (Cancel common terms)

\

$\"\"$ . \ \

\

$\"\"$

\

Find $\"\"$ .

\

$\"\"$ (Defintion of tan)

\

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

\

$\"\"$ (Use calculator)

\

$\"\"$ (Find the cross product)

\

$\"\"$ (Divide each side by $\"\"$ )

\

$\"\"$ (Cancel common terms)

\

$\"\"$ .

\

$\"\"$

\

$\"\"$ , $\"\"$ and $\"\"$ .