A) \[84{}^\circ \]
B) \[92{}^\circ \]
C) \[96{}^\circ \]
D) \[104{}^\circ \]
Correct Answer: D
Solution :
[d] In \[\Delta ACT,\] \[\angle ACB\,\,\,\,180{}^\circ -\angle CAT\,\,\,\,\angle ATC\] \[=180{}^\circ -(44{}^\circ +40{}^\circ )\] \[=180{}^\circ -84{}^\circ =96{}^\circ \] \[\therefore \] \[\angle ACB\,\,180{}^\circ -\angle ACT\] \[=180{}^\circ -96{}^\circ =84{}^\circ \] Also, \[\angle \,ACB\,\,\angle CAT=44{}^\circ \] \[\therefore \] In \[\Delta ABC,\] \[\angle BCA\ 180{}^\circ -(\angle ABC\,\,\angle ACB)\] \[\Rightarrow \] \[\angle BCA\ 180{}^\circ -(44{}^\circ +84{}^\circ )\] \[=180{}^\circ -128{}^\circ =52{}^\circ \] \[\therefore \] \[\angle BOC=2\angle BAC=2\times 52{}^\circ =104{}^\circ \] |
You need to login to perform this action.
You will be redirected in
3 sec