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WAEC Mathematics 2012 Question 22

Question 22

Triangles and Quadrilaterals

In the diagram, MQ||RS, ∠TUV = 70° and ∠RLV = 30°. Find the value of x.

Diagram for this question
  1. A.150°
  2. B.110°
  3. C.100°
  4. D.95°
Show the answer and explanation

Answer: C (100°)

Explanation

RS makes 30° with UV, so the parallel line MQ also makes 30° with UV (corresponding angles). In the triangle formed by UV, UT and MQ, the exterior angle x at X equals the sum of the opposite interior angles: 70° + 30° = 100°.