question_answer

If \[\angle LTS=38{}^\circ ,\] find external \[\angle TOL.\]

A)  \[288{}^\circ \]

B)  \[264{}^\circ \]  

C)  \[274{}^\circ \]

D)  \[284{}^\circ \]

Correct Answer: D

Solution :

 According to the figure, \[\because \] \[\angle LTS=\angle LTO\] \[\therefore \]\[\angle TPL=\angle LTO=38{}^\circ \] Now, \[x=\angle LOT=2\,\angle LPT=76{}^\circ \] Hence, exterior             \[\angle TOL=360{}^\circ -76{}^\circ =284{}^\circ \]