If x , 2x , 4x and 5x are the angles of a quadrilateral , then measure

1.	If x , 2x , 4x and 5x are the angles of a quadrilateral , then measurement of 4x is:a. 90b. 120c. 60d.150
Answer» Answer: b) 120 Step-by-step explanation: GIVEN, x , 2x , 4x , 5X are the angles of a Quadrilateral. To Find :- MEASUREMENT of the angle '4x' Solution :- As , x , 2x , 4x , 5x are the angles of a Quadrilateral. According to properties of Quadrilateral :- $\sf\implies$ x + 2x + 4x + 5x = $360\degree$ 12x = $360\degree$ x = $\sf\dfrac{360\degree}{12}$ x = $\sf 30\degree$ Angles of Quadrilateral are :- x = $\sf 30\degree$ $2x=2\times 30\degree\\\\= 60\degree$ $4x = 4\times 30\degree\\\\= 120\degree$ $5x = 5\times 30\degree\\\\= 150\degree$ As we need the measurement of the angle '4x' = $120\degree$ SINCE option'b'.