In the given figure, BAD || EF, ∠ AEF = 55° and ∠ ACB = 25°, find ∠ ABC.

Question

Philoid · Accepted Answer

According to question EF || BAD

Producing E to O, we get

EFA + AEO = 180 (Linear pair of angles)

AEO = 180 – 55

= 125

Now, in triangle ABC we get,

A = 125 and C = 25

So, ABC = 180 – (A + C)

= 180 – (125 + 25)

= 180 – 150

= 30^O

In the given figure, BAD || EF, ∠AEF = 55° and ∠ACB = 25°, find ∠ABC.