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#37359

triangle

trigonometry

hard

90 sec

Lines $L_{1}$ and $L_{2}$ are parallel. Transversal $T$ intersects $L_{1}$ at point P and $L_{2}$ at point Q. A line segment $\overline{QR}$ is drawn such that $\overline{QR} ⊥ L_{1}$ at point R. If the measure of $∠ QPR$ is $x^{\circ}$ , what is the value of $tan (x^{\circ}) \cdot tan (∠ PQR)$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.