In Fig 8.109, if AB ||CD and CD||EF , find ∠ ACE.

Question

In Fig 8.109, if AB ||CD and CD||EF , find &#x2220; ACE.

Philoid · Accepted Answer

Since,

EF ‖ CD

Therefore,

∠EFC + ∠LEC = 180^o(Co. interior angles)

∠ECD = 180^o – 130^o

= 50^o

Also, BA ‖ CD

∠BAC = ∠ACD = 70^o(Alternate angles)

But, ∠ACE + ∠ECD = 70^o

∠ACE = 70^o -50^o

=20^o