A) \[35{}^\circ \]
B) \[55{}^\circ \]
C) \[45{}^\circ \]
D) \[57{}^\circ \]
Correct Answer: B
Solution :
\[\angle A-\angle B=33{}^\circ \] ??. (1) \[\angle B-\angle C=18{}^\circ \] ??. (2) \[\angle A+\angle B+\angle C=180{}^\circ \] ??. (3) On solving eq. (1) and (2)- \[\angle A-2\angle B+\angle C=15{}^\circ \] Now, from eq. (3)? \[3\angle B=180{}^\circ -15{}^\circ \] \[3\angle B=165{}^\circ \] \[\angle B=55{}^\circ \]
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