Question

Select the correct answer from each drop-down menu.In the figure, AB CD and ElJ - GJI.Complete the following statements to prove that IKL and JLD are supplementary angles.It is given that EU - GI.Also, El - IKL and GI - LK as they are corresponding angles for parallel lines cut by a transversal,By the definition of congruent angles, m EU = m_Gll, mEl-maIKL, and m_GJI = m_JLK.So, m2KL = m_JLK by theAngle JLK and JLD are supplementary angles by theso mJLK + MILD - 180°By the. m IKL+mJLD - 180º.Therefore, IKL and JLD are supplementary angles by definition.

Answer 1

$m\angle IKL=m\angle JKL\text{ by the substitution property of equality}$$\angle JKL\text{ and }\angle JLD\text{ are supplementary angles by the Linear pair theorem}$$undefined$