What is the value of x in the figure shown?

A quadrilateral is shown with the measurements of four angles shown. The first angle measures 65 degree sign. The second angle measures 123 degree sign. The third angle measures 87 degree sign. The fourth angle measures x degree sign.

A. x = 85 B. x = 95 C. x = 150 D. x = 208

Respuesta :

the total amount of angles in quadrilateral is 360:
360-(65+123+87)=360-275=85
x=85

A quadrilateral is shown with the measurements of four angles shown. The fourth angle is 85 degrees.

What is the angle sum property?

The angle sum property of a quadrilateral states that the sum of the interior angles of a triangle is 360 degrees.

A quadrilateral is shown with the measurements of four angles shown. The first angle measures 65 degree sign.

The second angle measures 123 degree sign.

The third angle measures 87 degree sign. The fourth angle measures x degree sign.

The total amount of angles in a quadrilateral is 360:

x + 65 + 123 + 87 = 360

x = 360-(65+123+87)

x =360-275

x=85

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