
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
Let  $ABC$  be an acute triangle with orthocenter  $H$ . Let  $M$ ,  $N$  and  $R$  be the midpoints of  $AB$ ,  $BC$  an  $AH$ , respectively. If  $A\hat{B}C=70^\large\circ$ , compute  $M\hat{N}R$ .

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