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

If three angles of a quadrilateral are (3y – x – z)^o, 3x^o, (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 360^o
∴ (3y – x – z)^o + 3x^o + (2z – 2y – x)^o + p^o = 360^o
Where P is the fourth angle
3y – x – z + 3x + 2z – 2y – x + p = 360^o
p = 360 – (x + y + z)
∴ p = (360 – x – y – z)^o