Congruence, similarity, and angle relationships: advanced

The line segments

\overset{―}{A D}

and

\overset{―}{B C}

in the figure are parallel. What is the value of

x

? Round the answer to the nearest tenth.

How do I enter a student-produced response on the SAT?

For student-produced response questions, solve each problem and enter your answer as described below.

If you find more than one correct answer, enter only one answer.
You can enter up to 5 characters for a positive answer and up to 6 characters (including the negative sign) for a negative answer.
If your answer is a fraction that doesn’t fit in the provided space, enter the decimal equivalent.
If your answer is a decimal that doesn’t fit in the provided space, enter it by truncating or rounding at the fourth digit.
If your answer is a mixed number (such as $3 \frac{1}{2}$ ?), enter it as an improper fraction ( $\frac{7}{2}$ ?) or its decimal equivalent ( $3.5$ ?).
Don’t enter symbols such as a percent sign, comma, or dollar sign.

Examples:

Answer	Acceptable ways to enter answer	Unacceptable: will NOT receive credit
$3.5$ ?	$3.5$ ? , $3.50$ ? , $\frac{7}{2}$ ?	$\frac{31}{2}$ ? , $3$ ? $\frac{1}{2}$ ?
$\frac{2}{3}$ ?	$\frac{2}{3}$ ? , $.6666$ ? , $.6667$ ? , $0.666$ ? , $0.667$ ?	$0.66$ ? , $.66$ ? , $0.67$ ? , $.67$ ?
$? \frac{1}{3}$ ?	$? \frac{1}{3}$ ? , $? .3333$ ? , $? 0.333$ ?	$? .33$ ? , $? 0.33$ ?

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