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#40359

angles

triangle

hard

75 sec

Note: Figure not drawn to scale.

In the figure shown, points Q, R, S, and T lie on line segment PV, and line segment RU intersects line segment SX at point W. The measure of $∠ SQX$ is $5 5^{\circ}$ , the measure of $∠ SXQ$ is $7 5^{\circ}$ , and the measure of $∠ S W U$ is $9 0^{\circ}$ . What is the measure, in degrees, of $∠ W RS$ ?

• 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.