Home » If three angles of a quadrilateral are (3y – x – z)o, 3xo, (2z -…

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

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
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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