I see that you’ve uploaded an image of four triangles where the goal is to find the missing angles. I will extract the relevant information to solve these problems step by step.

Let me examine and analyze the triangles.I have displayed the image to extract the information about the triangles. Let me analyze each triangle and calculate the missing angles.

Since these are triangles, the sum of the interior angles in each triangle should be $180^\circ$. Using this principle, I can calculate the missing angle for each triangle based on the other two angles provided.

I'll proceed to break down the data and solve for the missing angles.To solve for the missing angles in each triangle, we will use the basic property that the sum of the interior angles in a triangle is always $180^\circ$. Therefore, for each triangle, the missing angle can be calculated as follows:

$\text{Missing angle} = 180^\circ - (\text{Angle 1} + \text{Angle 2})$

I will now analyze the angles given in the triangles and apply this formula to find the missing angles.

Let's begin solving:

1. Figure 1:

   • Given angles: $41^\circ$ and $90^\circ$

2. Figure 2:

   • Given angles: $32^\circ$ and $47^\circ$

3. Figure 3:

   • Given angles: $15^\circ$ and $90^\circ$

4. Figure 4:

   • Given angles: $20^\circ$ and $115^\circ$

I'll calculate the missing angles now.The missing angles for each triangle are as follows:

1. Figure 1: $49^\circ$
2. Figure 2: $101^\circ$
3. Figure 3: $75^\circ$
4. Figure 4: $45^\circ$

Would you like further details or explanations on these calculations?

Here are some related questions for practice:

1. What is the sum of interior angles in a quadrilateral?
2. Can a triangle have more than one right angle?
3. How do you classify triangles based on their angles?
4. What is the exterior angle theorem in triangles?
5. How can you determine if a triangle is obtuse?

Tip: Always double-check the angle sum of a triangle to ensure your calculations are correct.