We are given a parallelogram $ABCD$, and several angles inside the figure. Let's analyze the angles and determine the missing ones.

Given:

• $m \angle ADC = 115^\circ$
• $m \angle ABC = 93^\circ$
• $m \angle DAB = 30^\circ$
• $m \angle AEB = 52^\circ$ (diagonal angles at the intersection)
• The numbers 1, 2, 3, 4 refer to angles that need to be found.

Angle Analysis:

1. Angle 1:

   • $\angle DAB = 30^\circ$ and $\angle 1$ are supplementary (since $\angle DAB + \angle 1 = 180^\circ$ for any two angles along the same line). $m \angle 1 = 180^\circ - 30^\circ = 150^\circ$

2. Angle 2:

   • $\angle AEB = \angle 2$ because the diagonals of a parallelogram bisect each other and create equal angles. $m \angle 2 = 52^\circ$

3. Angle 3:

   • This angle is complementary to $\angle ABC$ at vertex $C$. Since $m \angle ABC = 93^\circ$, and the total around a point is $180^\circ$: $m \angle 3 = 180^\circ - 93^\circ = 87^\circ$

4. Angle 4:

   • This is the angle opposite $\angle 2$ in the same way the diagonals bisect each other. $m \angle 4 = 52^\circ$

Final Answers:

• $m \angle 1 = 150^\circ$
• $m \angle 2 = 52^\circ$
• $m \angle 3 = 87^\circ$
• $m \angle 4 = 52^\circ$

Would you like further clarification or details? Here are five related questions for deeper understanding:

1. How do you find the total sum of angles in any quadrilateral?
2. What is the property of diagonals in a parallelogram?
3. How can you confirm that opposite angles in a parallelogram are equal?
4. What are supplementary angles, and how are they useful in solving this problem?
5. How can the bisecting property of diagonals help in other geometric shapes?

Tip: In a parallelogram, opposite angles are always equal, and adjacent angles are supplementary.