passwella.
Menu

WAEC Mathematics 2008 Question 23

Question 23

Triangles and Quadrilaterals

The angles of a quadrilateral are (x + 10)°, 2y°, 90° and (100 − y)°. Find y in terms of x.

  1. A.y = 160 + x
  2. B.y = 100 + x
  3. C.y = 160 − x
  4. D.y = x − 100
Show the answer and explanation

Answer: C (y = 160 − x)

Explanation

The angles add to 360°: x + 10 + 2y + 90 + 100 − y = 360, so x + y = 160 and y = 160 − x.