MATHEMATICS

JAMB 2000 - Question 25

Mathematics 2000 JAMB Past Questions - Question 25: P is a point on one straight line UV and P moves in the same direction as UV .if the straight line ST is on the locus of P and VUS =60°, find  angle UST.

P is a point on one straight line UV and P moves in the same direction as UV .if the straight line ST is on the locus of P and VUS =60°, find  angle UST.
P is a point on one straight line UV and P moves in the same direction as UV .if the straight line ST is on the locus of P and VUS =60°, find  angle UST.
A:
B:
C:
D:
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Correct Answer

B

Explanation

check solution in the diagram aboveTo find the angle UST, we need to analyze the given information and apply the relevant geometric principles.From the given information, we know that point P moves in the same direction as line UV. This implies that line ST is parallel to line UV since it lies on the locus of point P.Since line ST is parallel to line UV, we can apply the property of alternate interior angles. The angle VUS is given as 60 degrees, and since line ST is parallel to line UV, angle UST is an alternate interior angle to angle VUS.Therefore, angle UST is also 60 degrees.In conclusion, the angle UST is 60 degrees.