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If three angles of a quadrilateral are (3y - x - z)o, 3xo, (2z -...

Mathematics
JAMB 1994

If three angles of a quadrilateral are (3y - x - z)o, 3xo, (2z - 2y - x)o find the fourth angle in terms of x, y and z
  • A. (360 - x- y - z)o
  • B. (360 + x + y - z)o
  • C. (180 - x + y + z)o
  • D. (180 - x + y + z)o
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Correct Answer: Option A
Explanation
The sum of angles of a quadrilateral is 360o

∴ (3y - x - z)o + 3xo + (2z - 2y - x)o + po = 360o

Where P is the fourth angle

3y - x - z + 3x + 2z - 2y - x + p = 360o

p = 360 - (x + y + z)

∴ p = (360 - x - y - z)o

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