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Farah Diana asked in Math

Triangle KLN is an equilateral triangle.Find MKN

Thank You
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Ankita Agarwal answered this

Dear Student, 

As given triangle is equiletral therefore KLM=LNK=NKL=60°Given LMK=105°Now in KLMKLM+LMK+MKL=180°             sum of all angles of triangle is 180°60°+105°+MKL=180°MKL=180°-165°MKL=15°Now , LKN=MKL+MKN60°=15°+MKNMKN=45°

Regards