WAEC Mathematics 1988 Question 18

Question 18

Triangles and Quadrilaterals

Calculate the value of x in the diagram below

Diagram for this question
  1. A.18°
  2. B.30°
  3. C.40°
  4. D.60°
  5. E.It cannot be determined.
Show the answer and explanation

Answer: A (18°)

Explanation

Each 3x angle is vertically opposite an angle of the triangle, so the triangle's angles are 3x, 3x and 4x. Then 10x = 180°, so x = 18°.