A) \[{{60}^{{}^\circ }},{{120}^{{}^\circ }},{{60}^{{}^\circ }},{{120}^{{}^\circ }}\]
B) \[{{85}^{{}^\circ }},{{95}^{{}^\circ }},{{85}^{{}^\circ }},{{95}^{{}^\circ }}\]
C) \[{{50}^{{}^\circ }},{{130}^{{}^\circ }},{{50}^{{}^\circ }},{{130}^{{}^\circ }}\]
D) \[{{45}^{{}^\circ }},{{135}^{{}^\circ }},{{45}^{{}^\circ }},{{135}^{{}^\circ }}\]
Correct Answer: D
Solution :
(d): Sum of two consecutive A of parallelogram \[={{180}^{{}^\circ }}\] Let \[\Delta \,be\text{ }x,3x,x,3x\] \[\Rightarrow x+3x={{180}^{{}^\circ }}\] \[\Rightarrow 4x={{180}^{{}^\circ }}\Rightarrow x={{45}^{{}^\circ }},3x={{135}^{{}^\circ }}\]
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