Question

Find x and y if AB CD EF. A || || B 45° X 100 C D E F​

Answer 1

Answer:

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

We know that sum of interior angles is equal to 180o

∠ECD+∠CEF=180o

∠ECD+130o=180o

∠ECD=180−130o

∠ECD=50o

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

We know that alternate angles are equal.

∠BAC=∠ACD 

∠BAC=∠ACE+∠ECD

70o=∠ACE+50o

20o=∠ACE

∴∠ACE=20o