The uploaded image contains two shapes and text asking for the "Measure of each interior angle" and the "Measure of each exterior angle."

To provide a detailed response, I need to identify the shapes and apply the appropriate geometric principles. Here's the analysis:

1. Polygon (on the left):

   • It appears to be a pentagon (a five-sided polygon).

   • The formula to find the sum of the interior angles of a polygon with $n$ sides is $(n-2) \times 180^\circ$.

   • For a pentagon: $(5-2) \times 180^\circ = 540^\circ$.

   • Each interior angle of a regular pentagon (if the pentagon is regular, i.e., all sides and angles are equal) is $\frac{540^\circ}{5} = 108^\circ$.

   • The exterior angle of a regular polygon is $\frac{360^\circ}{n}$.

   • For a pentagon: $\frac{360^\circ}{5} = 72^\circ$.

2. L-shaped figure (on the right):

   • The L-shaped figure is a more complex polygon and needs a different approach to find the interior and exterior angles.
   • It appears to be a non-standard shape, likely an irregular polygon. The sum of the interior angles can be determined by dividing it into simpler shapes, such as rectangles and triangles, or by using the general formula for polygons: $(n-2) \times 180^\circ$.

However, more precise details are needed about the L-shaped figure's angles and sides to provide exact measures. If we assume it is composed of rectangles, the angles would primarily be $90^\circ$.

Questions for Clarification and Further Analysis

1. Is the pentagon a regular polygon (all sides and angles are equal)?
2. Could you provide the exact number of sides for the L-shaped figure?
3. Are there any marked angles or measurements within the L-shaped figure that need specific calculation?
4. Do you need the measures for interior angles, exterior angles, or both for the L-shaped figure?
5. Are there any other shapes within the L-shaped figure, such as triangles?
6. Should I consider any assumptions about symmetry for the L-shaped figure?
7. Would you like to explore any particular properties of these shapes?
8. Are there any additional details or diagrams that can help clarify the shapes?

Tip

When dealing with irregular polygons, breaking them down into smaller, more manageable shapes like triangles and rectangles can simplify the process of finding the angles.