In the figure given below, \[AB\parallel CD\] and EF intersects them. Then, the value of x is |
A) \[18{}^\circ \]
B) \[14{}^\circ \]
C) \[28{}^\circ \]
D) \[24{}^\circ \]
Correct Answer: C
Solution :
According to the question, |
From figure, \[\angle EOB=\angle EMD=2x{}^\circ \] |
[corresponding angel] |
Now,\[\angle EMD+\angle EMC=180{}^\circ \] |
\[\therefore \] \[4x+12{}^\circ +2x=180{}^\circ \] |
\[\Rightarrow \] \[6x+12{}^\circ =180{}^\circ \]\[\Rightarrow \]\[6x=168{}^\circ \] |
\[\Rightarrow \] \[x=\frac{168{}^\circ }{6}\]\[\Rightarrow \]\[x=28{}^\circ \] |
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