The angles of a quadrilateral are (3x – 3)°, (x + 5), (2x + 2)°, (4x + 6)° respectively. Find the value of x.

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Solution

The correct option is C 35
Using the angle sum property of a quadrilateral, we get:
(3x – 3)°+ (x + 5)° + (2x + 2)° + (4x + 6)° = 360°
⇒ 3x – 3 + x + 5 + 2x + 2 + 4x + 6 = 360°
⇒ 10x + 10 = 360
⇒ 10x = 360 – 10
⇒ 10x = 350
⇒ x = $\frac{350}{10}$
⇒ x = 35

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