MHB What is the value of Angle BMC in Triangle ABC?

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$\triangle ABC ,if \,\, \angle BAC=\angle ACB=50^o$

point $M$ is an inner point of $\triangle ABC ,$

given :$\angle MAC=10^o$ and $\angle MCA=30^o$

find the value of $\angle BMC=?$
 
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Albert said:
$\triangle ABC ,if \,\, \angle BAC=\angle ACB=50^o$

point $M$ is an inner point of $\triangle ABC ,$

given :$\angle MAC=10^o$ and $\angle MCA=30^o$

find the value of $\angle BMC=?$
my solution:
 

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