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}