Since no constraints are given, we take the triangle to be isos rt. triangle.
So AC=BC
Now, join CM and CN
In triangle, BMC, <CBM=45
so, <BCM=<BMC=67.5
so, <ACM=22.5
similarly <BCN=22.5
So, <MCN=90-22.5-22.5=45deg

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Answer is 45 degrees???

ankajSeptember 15, 2008 at 8:08 am

yupp

outtimedSeptember 15, 2008 at 8:24 am

Since no constraints are given, we take the triangle to be isos rt. triangle.

So AC=BC

Now, join CM and CN

In triangle, BMC, <CBM=45

so, <BCM=<BMC=67.5

so, <ACM=22.5

similarly <BCN=22.5

So, <MCN=90-22.5-22.5=45deg

milindSeptember 15, 2008 at 10:58 am

well we can do without the assumption too,

its a simple geometry problem

but well done

outtimedSeptember 15, 2008 at 12:13 pm