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4.1 Lines, Angles, and Triangles - Triangle sum theorem
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The figure presents triangle R T U, with R U horizontal, and U to the right of R. A point V is on R U, such that V is closer to R than it is to U. Vertex T is above R U. The angle at T is labeled 114 degrees. Side U T is extended to point S, above vertex R, and line segment S V is drawn. The angle to the right of S V and below S T is labeled 31 degrees. The angle to the left of S V and above R V is labeled x degrees.

In the figure above, R T equals, T U. What is the value of x ?

A.

72

B.

66

C.

64

D.

58