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The problem shows a quadrilateral \(RSTU\), with two known angles: \( \angle S = 55^\circ \) and \( \angle T = 55^\circ \). We need to calculate the other two angles: \( \angle R \) and \( \angle U \).

Since \(RSTU\) is a parallelogram (as inferred from the shape), we can apply the following properties of parallelograms:
1. Opposite angles are equal: \( \angle R = \angle U \).
2. Adjacent angles are supplementary, meaning their sum is \(180^\circ\).

Given:
- \( \angle S = 55^\circ \) and \( \angle T = 55^\circ \),
- The adjacent angles \( \angle R \) and \( \angle U \) must satisfy \( \angle R + \angle S = 180^\circ \).

Thus:
\[
\angle R + 55^\circ = 180^\circ
\]
\[
\angle R = 180^\circ - 55^\circ = 125^\circ
\]

Therefore, both \( \angle R \) and \( \angle U \) are \( 125^\circ \).

### Summary:
- \( \angle S = 55^\circ \)
- \( \angle T = 55^\circ \)
- \( \angle R = 125^\circ \)
- \( \angle U = 125^\circ \)

Let me know if you would like further clarification or have additional questions!

Here are 5 related questions:
1. How do you calculate the interior angles of any parallelogram?
2. What are the properties of quadrilaterals like rectangles or rhombuses?
3. What is the sum of the interior angles of any quadrilateral?
4. Can a parallelogram have four equal angles? If so, what shape would it be?
5. How would you calculate the angles if only one angle was given?

**Tip:** In any quadrilateral, the sum of all interior angles is always \(360^\circ\).

You are asked to fabricate the following shape where the two known angles, S and T, are 55°. Calculate the other two angles.

Learn how to calculate the missing angles in a parallelogram RSTU where two known angles, S and T, are both 55°. Using the properties of parallelograms, this step-by-step guide will help you understand how to find the other angles, R and U. Suitable for Grades 6-8.

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