guys please help it really so urgent please question in the picture please please please help and please don't give wrong answer I will mark as brainleist
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answer for the given problem is given
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We are to prove that Ab || CD.
It is given that ray GM is the bisector of ∠ EGB
Therefore, ∠ EGM = ∠EGB (1)
Similarly, ray HL is the bisector of ∠ GHD
Therefore, ∠ GHL= GHD (2)
But GM || HL and EF is the transversal.
Therefore, ∠ EGM = ∠ GHL
(Corresponding angles axiom) (3)
Substituting (1) and (2) in (3), you get
∠ EGB = ∠ GHL
That is,
∠ EGB= ∠ GHD
But, they are the corresponding angles formed by transversal AD with PQ and RS; and are equal.
Therefore,
PQ || RS
(Converse of corresponding angles axiom)
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