Question

6) In the given figure, prove that AB || CD. D 80° С A В. 30° 130° F 50° E​

Answer 1

Step-by-step explanation:

Solution

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As per the diagram, lines CD∣∣EF and CE is transveral.

We know that sum of interior angles is equal to 180

o

∠ECD+∠CEF=180

o

∠ECD+130

o

=180

o

∠ECD=180−130

o

∠ECD=50

o

As per the diagram, lines AB∣∣CD and CA is transveral.

We know that alternate angles are equal.

∠BAC=∠ACD

∠BAC=∠ACE+∠ECD

70

o

=∠ACE+50

o

20

o

=∠ACE

∴∠ACE=20

o

Answer 2

Answer:

Yes AB ll CD

Step-by-step explanation:

Angle ECD + Angle CEF = 180°

Angle ECD + 130° = 180°

Angle ECD = 180 - 130

Angle ECD = 50°

AB ll CD

Hence proved