Question

In the given figure, the arms of two angles are parallel. If  \(∠ABC = 70º\), then find: 

1.  DGC 
2.  DEF

Answer 1

(i) Given, \(AB|| DE\) and \(BC\) is a transversal line and \(\angle ABC=70\degree\)
\(\therefore ∠ABC = ∠DGC\) [Corresponding angles]
\(\therefore∠DGC =70\degree\) ……….(i)

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(ii) Given, \(BC|| EF\) and \(DE\) is a transversal line and \(\angle DGC=70\degree\)
\(\therefore∠DGC = ∠DEF\) [Corresponding angles]
\(\therefore∠DEF = 70\degree\) [From eq. (i)]