A) \[132\frac{2{}^\circ }{11}\]
B) \[132\frac{3{}^\circ }{11}\]
C) \[132{}^\circ \]
D) \[132\frac{1{}^\circ }{11}\]
Correct Answer: B
Solution :
| [b] \[\frac{1}{2}\]radian \[=\frac{1}{2}\times \frac{180}{\pi }=\left( \frac{90\times 7}{22} \right){}^\circ \] and \[\frac{1}{2}\]radian \[=\frac{1}{3}\times \frac{180}{\pi }=\left( \frac{60\times 7}{22} \right){}^\circ \] \[\because \]The sum of the angles of a triangle is \[180{}^\circ .\] \[\therefore \]Measure of the third angle \[=180{}^\circ -\left( \frac{90\times 7}{22}+\frac{60\times 7}{22} \right)\] \[=180{}^\circ -47\frac{8{}^\circ }{11}=132\frac{3{}^\circ }{11}\] |
You need to login to perform this action.
You will be redirected in
3 sec
