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 is A

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