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Complete the following statements to pr...
Mathematics, 04.03.2021 23:00 hidagiser
G
J
B
с
K
L
D
H н
Complete the following statements to prove that LIKL and ZJLD are supplementary angles.
It is given that ZEJ ZGJI.
Also, LEIJ ZIKL and ZGJI LJLK as they are corresponding angles for parallel lines cut by a transversal.
By the definition of congruent angles, mzEIJ = m_GJI. m. EU = MZIKL, and m_GJI = m_JLK.
So, mziKL = m_JLK by the
Angle LK and ZJLD are supplementary angles by the
50 m2 LK + m2/LD = 180°
By the
v. mzIKL + MZJLD = 180°.
Therefore, LIKL and JLD are supplementary angles by definition.
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