
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given triangle ABC, if there exists a triangle $A\_1B\_1C\_1$ such that $\frac{\cos A}{\sin A\_1} = \frac{\cos B}{\sin B\_1} = \frac{\cos C}{\sin C\_1}$, then triangle $A\_1B\_1C\_1$ is called a "friendly" triangle of triangle ABC.

1. Among the following triangles, there exists a "friendly" triangle in \_\_\_\_\_\_ (please write the number of the condition that meets the requirement):
	* $A = 90^{\circ}$, $B = 60^{\circ}$, $C = 30^{\circ}$;
	* $A = 75^{\circ}$, $B = 60^{\circ}$, $C = 45^{\circ}$;
	* $A = 75^{\circ}$, $B = 75^{\circ}$, $C = 30^{\circ}$.
2. If triangle ABC has a "friendly" triangle and $A = 70^{\circ}$, then the degrees of the other two angles are \_\_\_\_\_\_ respectively.

Present the answer in LaTex format: \boxed{Your answer}
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