It seems like you are describing a triangle problem where some information is given about the triangle, but there are some unclear parts in your description. Let me clarify a few things based on your input:

• Angle A = 36°: You provided an angle of the triangle.
• Side a = 8: This appears to be the length of the side opposite angle A.
• Side b = 5: You seem to provide a second side's length.
• You want to find the missing sides and angles.

For this problem, we could use the Law of Sines or Law of Cosines, but the exact setup is unclear.

Let's assume you're referring to a non-right triangle and you're providing:

1. Angle A = 36°
2. Side a = 8
3. Side b = 5

This is a case of SSA (Side-Side-Angle) triangle configuration, which can have 1, 2, or 0 solutions depending on the specifics of the situation.

Step 1: Use the Law of Sines

The Law of Sines states:

$\frac{a}{\sin A} = \frac{b}{\sin B}$

Where:

• $a = 8$, $b = 5$, and $A = 36^\circ$.

Substitute these values into the equation:

$\frac{8}{\sin 36^\circ} = \frac{5}{\sin B}$

We can now solve for $\sin B$ and find angle B, but before proceeding, let me check if the SSA case leads to multiple solutions.

Would you like me to continue solving, or did I misinterpret any part of your problem? Feel free to clarify if the triangle setup is different.

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Additional Questions:

1. What other angle or side data is available in the problem?
2. Do you want to consider all possible triangle cases for SSA?
3. Are there any other angles or sides you can provide?
4. Would you like to work with the Law of Cosines instead?
5. Are you looking for a specific type of solution, such as acute or obtuse triangles?

Tip: In SSA triangles, check the possible number of solutions because there can sometimes be two distinct triangles depending on the angle situation!