WAEC Mathematics 2016 Objective — Question 18

Question 18 of 50 from the West African Examinations Council (WAEC) Mathematics 2016 Objective paper, with the correct answer and a full explanation.

18. In the diagram, YW is a tangent to the circle at X, |UV|=|VX| and ∠VXW=50°. Find the value of ∠UXY. A. 70° B. 80° C. 105° D. 110°

• A. 70°
• B. 80°Correct
• C. 105°
• D. 110°

Explanation

∠XUV=∠VXW=50° (angle in alt segment); ∠UXV=∠XUV=50° (base angles of isosceles Δ); ∠UXY=180°-(50°+50°)=80° (angles on a straight line).

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