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The image shows two intersecting lines, where one forms a right angle with a horizontal line, and an angle of \(26^\circ\) is marked between the horizontal line and an inclined line. The angle labeled \(b\) appears to be the complement of the given \(26^\circ\) angle.

In this situation, the angles form a right angle. Since the sum of the angles around a point in a right triangle equals \(90^\circ\), we can solve for angle \(b\) using the formula:
\[
b = 90^\circ - 26^\circ
\]
\[
b = 64^\circ
\]

Thus, the measure of angle \(b\) is \(64^\circ\).

Would you like further clarification or additional details?

Here are some related questions:
1. How would you apply the complementary angle theorem in other problems?
2. What happens if the angle is larger or smaller than \(26^\circ\)? How does that affect \(b\)?
3. Can you explain why the sum of angles in a right triangle always equals \(90^\circ\)?
4. What other geometric properties can we infer from this type of angle configuration?
5. How does this problem change if we are dealing with different types of triangles (e.g., obtuse)?

**Tip:** Complementary angles are often useful when dealing with right angles. Remember that they always add up to \(90^\circ\).

Learn how to calculate the complementary angle in a geometric problem where the given angle is 26°. Using the complementary angle theorem, we show step-by-step how to find the measure of angle b, which is 64°. This problem is suitable for students in Grades 6-8.

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