Question

Use the infromation in the diagram to solve for x

Answer 1

Given:

The interior angles of a quadrilateral PQRS are 6x, 5x, 4x and 3x.

The objective is to find the value of x.

Step-by-step explanation:

It is known that the sum of angles of a quadrilateral is 360°.

`\angle P+\angle Q+\angle R+\angle S=360\degree`

To find x :

Now, sustitute the values of each angle in the above equation,

`\begin{gathered} 6x+5x+4x+3x=360 \\ 18x=360 \\ x=(360)/(18) \\ x=20 \end{gathered}`

Hence, the value of x is 20.