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JAMB Mathematics 1978 Question 18

Question 18

Angles and Polygons

If the four interior angles of a quadrilateral are (P + 10)°, (P − 30)°, (2P − 45)°, and (P + 15)°, then P is

  1. A.125°
  2. B.82°
  3. C.135°
  4. D.105°
  5. E.60°.
Show the answer and explanation

Answer: B (82°)

Explanation

The angles of a quadrilateral add up to 360°: 5P − 50 = 360, so 5P = 410 and P = 82°.