In the given figure, \[CD||AB.\] Find y.  |
A) \[79{}^\circ \]
B) \[72{}^\circ \]
C) \[74{}^\circ \]
D) \[77{}^\circ \]
Correct Answer: B
Solution :
| In \[\Delta ABC,\]\[\angle ABC+\angle BCA+\angle CAB=180{}^\circ \] |
| \[\Rightarrow \]\[4x+3x+3x=180{}^\circ \] |
| \[\Rightarrow \]\[10x=180{}^\circ \]\[\Rightarrow \]\[x=18{}^\circ \] |
| Now, \[\angle ABC=\angle DCE\] |
| [corresponding angles are equal] |
| \[\Rightarrow \]\[\angle CDE=4x{}^\circ \] |
| \[\Rightarrow \]\[y=4\times 18{}^\circ =72{}^\circ \] |
You need to login to perform this action.
You will be redirected in
3 sec
