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in Geometrical Constructions by (46.9k points)
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In ∆EFG, l(EG) = 6 cm, m∠F = 65° , m∠G = 45°.

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In ∆EFG, m∠E + m∠F + m∠G = 180° …(sum of measures of angles of a triangle) 

m∠E + 65° + 45° = 180° 

m∠E + 110° = 180° 

m∠E = 180° – 110° 

m∠E = 70°

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