Question

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Answer 1

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 2

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°

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