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given OA parallel FC
so <1 = <2. (alternate interior angle ).................... (1)
again OB parallel FD
so <2 = <3 .............. (2)
from (1) & (2) <1 = <3
=》<AOB = <CFD
(Proved )
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Step-by-step explanation:
Angle 3 and angle 2 are corresponding angles
Then, we know that corresponding angles on the side of transversal are equal
And angle 2 and angle 1 are corresponding angles
Then those are equal
So according to theorem of linear pair angles if an angle is equal to another two angles then those two angles are equal
So angle 3 is equal to angle 1
It's simple
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