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The image shows a parallelogram with angles marked and we are tasked with finding the values of angles \( a \), \( b \), and \( c \).

### Key properties of a parallelogram:
1. **Opposite angles are equal**.
2. **Adjacent angles are supplementary** (i.e., they add up to 180°).

Given:
- One of the angles is marked as \( 98^\circ \).

Let's find each angle:

### Step 1: Find angle \( a \)
- Angle \( a \) is opposite the angle marked \( 98^\circ \), so by the property of opposite angles:
  \[
  a = 98^\circ
  \]

### Step 2: Find angle \( b \)
- Angles \( a \) and \( b \) are adjacent, and adjacent angles in a parallelogram are supplementary. Therefore:
  \[
  a + b = 180^\circ
  \]
  Substituting \( a = 98^\circ \):
  \[
  98^\circ + b = 180^\circ
  \]
  Solving for \( b \):
  \[
  b = 180^\circ - 98^\circ = 82^\circ
  \]

### Step 3: Find angle \( c \)
- Angle \( c \) is opposite angle \( b \), so by the property of opposite angles:
  \[
  c = 82^\circ
  \]

### Final Answers:
- \( a = 98^\circ \)
- \( b = 82^\circ \)
- \( c = 82^\circ \)

Would you like a detailed explanation of how these properties work? Here are some related questions:

1. Why do opposite angles in a parallelogram always equal each other?
2. What other shapes have supplementary adjacent angles?
3. How can the angles in a rectangle be derived using similar rules?
4. How can we verify that the sum of all angles in any quadrilateral is always 360°?
5. What are the implications of these angle relationships for other polygons, like hexagons?

**Tip**: For any parallelogram, the sum of any two consecutive angles is always 180°, making supplementary angles a key concept.

Find the value of the pronumerals in the parallelogram with a given angle of 98°. The angles to find are a, b, and c.

Learn how to find the missing angles a, b, and c in a parallelogram when one angle is given as 98°. This problem covers key geometry concepts, including opposite angles and supplementary adjacent angles, suitable for students in Grades 6-8.

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