A) \[16{}^\circ ,\]\[56{}^\circ ,\]\[88{}^\circ \]
B) \[18{}^\circ ,\]\[63{}^\circ ,\]\[99{}^\circ \]
C) \[20{}^\circ ,\]\[70{}^\circ ,\]\[90{}^\circ \]
D) \[25{}^\circ ,\]\[175{}^\circ ,\]\[105{}^\circ \]
Correct Answer: B
Solution :
Let the measures of three angles of triangle are \[2x,\]\[7x\]and \[11x,\]respectively. \[\therefore \] \[2x+7x+11x=180{}^\circ \] \[\Rightarrow \] \[20x=180{}^\circ \] \[\Rightarrow \] \[x=\frac{180{}^\circ }{20}=9{}^\circ \] \[\therefore \] First angle \[=2x=2\times 9=18{}^\circ \] Second angle \[=7x=7\times 9=63{}^\circ \] Third angle \[=11x=11\times 9=99{}^\circ \]
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