Question

If x , 2x , 4x and 5x are the angles of a quadrilateral , then measurement of 4x is:
a. 90
b. 120
c. 60
d.150

Answer 1

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'.