The image contains a problem involving two geometric shapes with angles labeled, asking to find the missing values.

Let's break it down:

The task asks to "Find the values of x in the given figures. Show your solution completely." Both figures represent quadrilaterals with different sets of angles, where one or more angles are unknown and labeled as x.

1. First figure:

   • It is a quadrilateral.
   • Angles: 85°, 105°, 65°, and x.
   • The sum of all angles in a quadrilateral is always 360°.

   The equation becomes: $85^\circ + 105^\circ + 65^\circ + x = 360^\circ$ Solving for x: $x = 360^\circ - (85^\circ + 105^\circ + 65^\circ)$

2. Second figure:

   • It is also a quadrilateral.
   • Angles: 85°, 70°, 150°, and x.
   • Similarly, the sum of all angles in this quadrilateral is 360°.

   The equation becomes: $85^\circ + 70^\circ + 150^\circ + x = 360^\circ$ Solving for x: $x = 360^\circ - (85^\circ + 70^\circ + 150^\circ)$

Now, let me calculate the values for x in both cases.The missing angle values for the quadrilaterals are:

1. In the first figure, $x = 105^\circ$.
2. In the second figure, $x = 55^\circ$.

Would you like further details on the steps or have any other questions? Here are five related questions to consider:

1. How do you calculate the sum of interior angles in a polygon?
2. What is the general formula for the sum of interior angles of a polygon with n sides?
3. Why is the sum of the angles in a quadrilateral always 360°?
4. Can you find the missing angle in a triangle if two angles are known?
5. How can you apply these methods to irregular polygons?

Tip: Always remember that for any n-sided polygon, the sum of the interior angles is given by the formula: $180^\circ \times (n - 2)$.