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Step-by-step explanation:
here, AB is parallel to DC and EB is transversal
therefore angle CBA=angle ECD
therefore, f=58°
in triangle EDC, angle f = angle EDC
therefore angle EDC = 58°
now, angle g = 180° - 2×58° = 180°-116°=64°
and angle EDC + Angle e = 180° (due to linear pair)
therefore angle e = 180°-58° = 122°
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Answer:
Since DC || AB
<f = <b= 58°
Since AE = EB
<A =<B = 58° [angle opposite to equal sides are equal ]
<A+<B+<E = 180°[Angle sum property]
<g= 64°
<e = 180°-58[co-ordinate angles]
<e = 122°
hope it will help you
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