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JAMB Mathematics 2002 Question 40

Question 40

Triangles and Quadrilaterals

The triangle PQR above is

Diagram for this question
  1. A.an obtuse-angled triangle
  2. B.a scalene triangle
  3. C.an isosceles triangle
  4. D.an equilateral triangle
Show the answer and explanation

Answer: C (an isosceles triangle)

Explanation

The exterior angle at R is 128°, so ∠PRQ = 52°. Then ∠P = 180° − 76° − 52° = 52°. Two equal angles make the triangle isosceles.