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UI Post-UTME Mathematics 2019 (Model questions) Question 1

Question 1

Triangles and Quadrilaterals

Given that the four angles of a quadrilateral are (P + 10)°, (P − 30)°, (2P − 45)° and (P + 15)°, what is the value of P?

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

Answer: B (82)

Explanation

The angles add to 360°: 5P − 50 = 360, so P = 82.