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To solve for the measure of angle \( B \), let's analyze the given information:

1. **Isosceles Triangle Property**: The triangles formed by the legs of the camping cot are isosceles. This means two of the angles in the triangle are equal.
2. **Angle \( A \)**: Angle \( A \) is given as \( 98^\circ \).
3. **Triangle Angle Sum**: In any triangle, the sum of the interior angles is \( 180^\circ \).

Since the triangle is isosceles, and angle \( A \) is the unique angle of \( 98^\circ \), the remaining two angles (which we can label as \( B \)) are equal.

### Step-by-Step Solution:

1. **Sum of Angles**: 
   \[
   A + 2B = 180^\circ
   \]

2. **Substitute \( A = 98^\circ \)**:
   \[
   98^\circ + 2B = 180^\circ
   \]

3. **Solve for \( B \)**:
   \[
   2B = 180^\circ - 98^\circ
   \]
   \[
   2B = 82^\circ
   \]
   \[
   B = \frac{82^\circ}{2}
   \]
   \[
   B = 41^\circ
   \]

### Answer:
The measure of angle \( B \) is \( 41^\circ \).

Would you like more details or have any questions?

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**Related Questions:**
1. What is the sum of angles in an isosceles triangle?
2. How does the property of an isosceles triangle help in finding unknown angles?
3. What other properties apply to isosceles triangles?
4. How would the solution change if angle \( A \) were \( 90^\circ \)?
5. Can an isosceles triangle have an angle greater than \( 120^\circ \)?

**Tip:** In any isosceles triangle, if one angle is known, the two equal angles can be found by subtracting the known angle from \( 180^\circ \) and then dividing by 2.

Assume that the triangles formed by the legs of this camping cot are isosceles and that angle A is 98°. Find the measure of angle B.

Learn how to find the measure of angle B in an isosceles triangle with a given angle A of 98°. This problem covers key geometric concepts, including triangle angle sums and isosceles triangle properties. Suitable for students in Grades 7-9.

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