Question

B) In the following figure AB ||DG and BC|| EF,Also ABC =60°,find the measure of DEF​

Answer 1

Answer:

60 degrees

Step-by-step explanation:

Angle ABC=Angle DGC (Corresponding Angles)

Angle DGC=Angle DEF (Corresponding Angles)

Answer 2

Given,

$\[\begin{array}{l}AB\parallel DG\\BC\parallel EF\\\angle ABC = 60^\circ \end{array}\]$

Solution,

Calculate the angle DEF.

Observe the given figure,

$\[\begin{array}{l}AB\parallel DG \Rightarrow AB\parallel DE\\BC\parallel EF\end{array}\]$

So,

$\[\angle ABC$ = $\[\angle\]$DEF

$\[\angle ABC = 60^\circ \]$

$\[ \Rightarrow \angle \]$DEF$\[ = 60^\circ \]$

Hence the value of angle DEF is $\[60^\circ \]$