In the given figure -
i) If angle1 = 125°, angle2 =25°, angle 3= 150° & angle 4 = 30°
Prove that- AB IICD
ii) If angle5= 70° , angle2= angle 4= 35° & angle 3 = 145°
Prove that - AB ll CD
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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
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