E G A 1 Јв с K D H Complete the following statements to prove that ZIKL and ZJLD are supplementary angles. It is given that ZEIJ = ZGJI. Also, ZEI = ZIKL and ZGJI E ZJLK, as they are corresponding angles for parallel lines cut by a transversal. By the definition of congruent angles, mZEIJ = mZGJI, MZEIJ = m ZIKL, and mZGJI= m_JLK. So, mZIKL = m_JLK by the ngle LK and ZJLD are supplementary angles by the so mZJLK + MZJLD = 180º. By the 2. m ZIKL + m_JLD = 180°. Therefore, ZIKL and ZJLD are supplementary angles by definition.​