A) \[42{}^\circ ,\,\,63{}^\circ \]
B) \[52{}^\circ ,\,\,53{}^\circ \]
C) \[45{}^\circ ,\,\,60{}^\circ \]
D) \[35{}^\circ ,\,\,70{}^\circ \]
Correct Answer: A
Solution :
Sum of angles of a triangle\[=180{}^\circ \] Sum of two unknown angle \[=180{}^\circ -75{}^\circ =105{}^\circ \] Angles are in ratio \[2:3.\] Total part\[=5\] One part\[=\frac{105{}^\circ }{5}=21\] Two parts\[=2\times 21=42{}^\circ ,\] 3 parts\[=3\times 21{}^\circ =63{}^\circ \]
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