The uploaded image contains problems related to geometry involving a rectangle $ABCD$ and its diagonals. I will analyze and solve the problems step by step.

Problem Breakdown:

1. Task 5: In rectangle $ABCD$, $\angle 4 - \angle 3 = 36^\circ$. Find $\angle 2$.

2. Task 6: In rectangle $ABCD$, $\angle 2 + \angle 3 = 99^\circ$. Find $\angle 1$.

3. Task 7: In rectangle $ABCD$, $\angle 4 = 3\angle 1 = 62^\circ$. Find $\angle 2$.

4. Task 8: The diagonals of rectangle $ABCD$ intersect at point $O$. Find diagonal $BD$ if $\angle 2 : \angle 4 = 1 : 4$ and the area of triangle $\triangle AOB$ is $39 \, \text{cm}^2$.

Would you like me to start solving these problems sequentially, or is there a specific task you want to focus on first? Let me know!