$\"\"$

\

Observe the figure:

\

The sides of the $\"\"$ are $\"\"$ and $\"\"$ .

\

The sides of the $\"\"$ are $\"\"$ and $\"\"$ .

\

If $\"\"$ and $\"\"$ are similar, then measures of their corresponding sides are proportional.

\

$\"\"$ (Corresponding sides are proportional)

\

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

\

The equal property of equality: $\"\"$ (or) $\"\"$ (or) $\"\"$ .

\

Case(i): $\"\"$ .

\

$\"\"$ (First proportion)

\

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

\

$\"\"$ (Multiply)

\

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

\

$\"\"$ (Cancel common terms)

\

The value of $\"\"$ is $\"\"$ .

\

$\"\"$

\

Case (ii): $\"\"$ .

\

$\"\"$ (Second proportion)

\

$\"\"$ (The cross product)

\

$\"\"$ (Multiply)

\

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

\

$\"\"$ (Cancel common terms)

\

The value of $\"\"$ is $\"\"$ .

\

Therefore, the missing measures are $\"\"$ and $\"\"$ .

\

$\"\"$

\

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