P is a point on one side of the straight line UV and P moves...

JAMB 2000

P is a point on one side of the straight line UV and P moves in the same direction as UV. If the straight line ST is on the locus of P and angle VUS = 60°, find angle UST.

A. 310°
B. 130°
C. 80°
D. 50°

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Correct Answer: Option B

Explanation

Make a good sketch of the question, and follow this steps.
Since ST is parallel to UV => angle USR = 50°(alternate to VUS.
Angle UST = 180° - 50° = 130° (angle on a straight line)

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