A) \[\text{40 }\!\!{}^\circ\!\!\text{ }\], \[\text{135 }\!\!{}^\circ\!\!\text{ }\]
B) \[\text{45 }\!\!{}^\circ\!\!\text{ }\], \[\text{130 }\!\!{}^\circ\!\!\text{ }\]
C) \[\text{45 }\!\!{}^\circ\!\!\text{ }\],\[\text{135 }\!\!{}^\circ\!\!\text{ }\]
D) \[\text{180 }\!\!{}^\circ\!\!\text{ }\]
Correct Answer: C
Solution :
From the figure,\[x{}^\circ \text{ }+\text{ }3x{}^\circ \text{ }=\text{ }180{}^\circ \] (straight angle) \[\Rightarrow 4x{}^\circ =180{}^\circ \] \[\Rightarrow x{}^\circ \text{ }=\text{ }45{}^\circ \] \[\therefore 3x{}^\circ =3\times 45{}^\circ =135{}^\circ \]
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