LissandraA483574 LissandraA483574
  • 26-10-2022
  • Mathematics
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use the infromation in the diagram to solve for x

use the infromation in the diagram to solve for x class=

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ZunairaM789294 ZunairaM789294
  • 26-10-2022

Given:

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

The objective is to find the value of x.

Explanation:

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

[tex]\angle P+\angle Q+\angle R+\angle S=360\degree[/tex]

To find x :

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

[tex]\begin{gathered} 6x+5x+4x+3x=360 \\ 18x=360 \\ x=\frac{360}{18} \\ x=20 \end{gathered}[/tex]

Hence, the value of x is 20.

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