A) \[32{}^\circ \]
B) \[73{}^\circ \]
C) \[25{}^\circ \]
D) \[78{}^\circ \]
Correct Answer: B
Solution :
\[\because \]\[\angle A+\angle B+\angle C=180{}^\circ \] |
\[x+(3x-2)+y=180{}^\circ ;4x+y=182\]?(i) |
Also, \[\angle C-\angle B=9{}^\circ \] |
\[y-(3x-2)=9{}^\circ \] |
\[y-3x=7{}^\circ \] ?(ii) |
On subtracting Eq. (ii) from Eq. (i), we get |
\[\angle B=\,\,(3x-2)=3\times 25{}^\circ -2=73{}^\circ \] |
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