Respuesta :

The given figure is a quadrilateral  .In a Quadrilateral sum of angles is 360 degrees.

The given four angles in the quadrilateral are 70°,110°,110° and 5x °.

Applying angle sum property of quadrilateral:

70+110+110+5x=360°

Adding ,

290+5x=360

Subtracting both sides by 290 so that  x term can be isolated,

290-290+5x=360-290.

5x=70

Dividing both sides by 5

x=14.

Value of x is 14.

For a quadrilateral the sum of all the interior angle is equal to the 360 degrees.

The value of the [tex]x[/tex] is 14. Thus the option A is the correct option.

What is the sum of interior angles of the quadrilateral?

For a quadrilateral the sum of all the interior angle is equal to the 360 degrees.

Given information-

The given image shown in the problem is of a quadrilateral.

For a quadrilateral we know that the sum of all the interior angle is equal to the 360 degrees. Thus,

[tex]5x+110+70+110=360[/tex]

Simplify the above equation as,

[tex]5x+290=360[/tex]

Subtract by 290 from both the sides as,

[tex]5x=360-290\\5x=70[/tex]

Divide by 5 from both the sides,

[tex]x=\dfrac{70}{5}\\x=14[/tex]

Hence the value of the [tex]x[/tex] is 14. Thus the option A is the correct option.

Learn more about the interior angle of a quadrilateral here;

https://brainly.in/question/1351768

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