What is \[\angle x\] expressed as a fraction of\[\angle z\]?
A) \[\frac{1}{3}\]
B) \[\frac{1}{2}\]
C) \[\frac{2}{3}\]
D) \[\frac{3}{4}\]
Correct Answer: B
Solution :
\[\angle DOQ=\angle COP={{60}^{o}}\] \[\angle y={{60}^{o}}\] \[\angle x=\frac{2}{3}\times {{60}^{o}}={{40}^{o}}\] \[\angle z={{180}^{o}}-{{60}^{o}}-{{40}^{o}}={{80}^{o}}\] \[\frac{\angle x}{\angle z}=\frac{{{40}^{o}}}{{{80}^{o}}}=\frac{1}{2}\]
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