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The diagram you've shared shows two intersecting lines forming an angle, with one of the angles marked as \( 56^\circ \), and another angle labeled \( b \), which appears to be a complementary angle (forming a right angle with a third line). 

To find \( b \), you can use the fact that these two angles are complementary. Complementary angles sum up to \( 90^\circ \). So, we can write the equation:

\[
b + 56^\circ = 90^\circ
\]

Solving for \( b \):

\[
b = 90^\circ - 56^\circ = 34^\circ
\]

Thus, the value of \( b \) is \( 34^\circ \).

Would you like more details or have any further questions?

Here are 5 related questions:
1. What are complementary and supplementary angles?
2. How do we calculate the unknown angle when two angles are complementary?
3. What are the properties of intersecting lines in geometry?
4. What is the significance of right angles in geometrical figures?
5. How can we extend this understanding to angles in polygons?

**Tip:** Always check if angles form complementary (sum to \( 90^\circ \)) or supplementary (sum to \( 180^\circ \)) pairs when solving geometrical problems.

What is the value of angle b in the diagram where two intersecting lines form an angle of 56°, and angle b appears to be complementary to 56°?

Learn how to solve a geometry problem involving complementary angles. This problem gives an angle of 56° and asks to find the complementary angle b. Detailed solution provided with the formula b + 56° = 90°. Suitable for students in Grades 6-8.

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