</span><span>EF is the angle bisector of ∠E, m∠DEF = 43°= </span><span> m∠FEK ( the bisector divide the angle in two equal angles) </span> so m∠DEK = m∠DEF + <span> m∠FEK = 43 + 43 = 86 </span> <span>∆DEK is isoceles triangle (given) </span>the two base angles are equal m∠EDK = m∠DK<span>E </span>and the sum of angles in a triangle = 180