Question

Calculate the missing internal angle x.

Answer 1

Answer: x = 195

Step-by-step explanation

The four angles of a quadrilateral always add to 360 degrees. This is because we can subdivide the quadrilateral into two triangles, and each triangle provides an angle sum of 180 degrees. So 180+180 = 360.

Add up the angles shown in the diagram. Set the sum equal to 360 so we can solve for variable x.

40+87+38+x = 360

165+x = 360

x = 360-165

x = 195

Answer 2

the missing interior angle x is 180 degrees - (25 units / 20 units) = 120 degrees.