A) \[{{145}^{{}^\circ }}\]
B) \[{{150}^{{}^\circ }}\]
C) \[{{135}^{{}^\circ }}\]
D) \[{{100}^{{}^\circ }}\]
Correct Answer: C
Solution :
(c) Here \[\angle QPL+\angle PLR={{180}^{{}^\circ }}\] \[\angle PLR={{180}^{{}^\circ }}-\angle QPL\] \[{{180}^{{}^\circ }}-{{115}^{{}^\circ }}=65{}^\circ \] \[\angle RLP=\angle LRT+\angle RTL\] \[\angle LRT=\angle RLP-\angle RTL={{60}^{{}^\circ }}-{{15}^{{}^\circ }}={{45}^{{}^\circ }}\] \[\angle SRT+\angle RLP={{180}^{{}^\circ }}\] \[\angle SRT={{180}^{{}^\circ }}-\angle LRT={{180}^{{}^\circ }}-{{45}^{{}^\circ }}={{135}^{{}^\circ }}\] \[\angle SRT={{135}^{{}^\circ }}\]You need to login to perform this action.
You will be redirected in
3 sec