Complete the following statements to prove that likl and zjld are supplementary angles.
it is given that zeij zgji.
also, eijzikl and zgji jlk, as they are corresponding angles for parallel lines cut by a transversal.
by the definition of congruent angles, mzeij= mzgji, mzeij = mzikl, and mzgji = m_jlk
so, mzikl = m_jlk by the
angle jlk and zjld are supplementary angles by the
v. so m_jlk + mzjld = 180°.
by the
m_ikl + mzjld = 180°
therefore, zikl and zjld are supplementary angles by definition.