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20 POINTS!!! PLEASE HELP

The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

What is the value of x?

Enter your answer in the box.

x =

20 POINTS PLEASE HELP The interior angles formed by the sides of a quadrilateral have measures that sum to 360 What is the value of x Enter your answer in the b class=

Respuesta :

mumsy
360=x+x+(2x+3)+(2x+3)
we have 360=2x+2x+2x+6
360-6=6x
354=6x
x=354/6=59
x=59

calculista

Answer:

The value of x is [tex]59\°[/tex]

Step-by-step explanation:

we know that

The sum of the internal angles of a quadrilateral must be equal to [tex]360\°[/tex]

so

[tex](2x+3)\°+(2x+3)\°+x\°+x\°=360\°[/tex]

solve for x

[tex]2x+2x+x+x=360\°-6\°[/tex]

[tex]6x=354\°[/tex]

[tex]x=59\°[/tex]


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