Question

what is the value of $x$ in the figure?
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how do i enter a student - produced response on the sat? show me!

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°. In \(\triangle ABC\), we know two angles.

Step2: Calculate the third - angle in \(\triangle ABC\)

Let the third angle in \(\triangle ABC\) be \(y\). Then \(y=180-(73 + 52)=180 - 125 = 55^{\circ}\).

Step3: Use the property of a parallelogram

Since \(AB = CD = 4.9\) and \(AC = BD = 4\), \(ABCD\) is a parallelogram. In a parallelogram, opposite angles are equal and adjacent angles are supplementary. \(\angle BCD\) and the angle adjacent to \(y\) in \(\triangle ABC\) are equal.
\(x = 55\)

Answer:

55