WAEC Mathematics 2014 Objective — Question 21

Question 21 of 50 from the West African Examinations Council (WAEC) Mathematics 2014 Objective paper, with the correct answer and a full explanation.

In the diagram, line |SR| is parallel to line |UW|, ∠WVT=x°, ∠VUT=y°, ∠RSV=45° and ∠VTU=20°. Find the value of x°.

• A. 20
• B. 45Correct
• C. 65
• D. 135

Explanation

∠SVU=45° (alternate angle to ∠RSV). x°=∠WVT is vertically opposite to ∠SVU, so x°=45°.

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