A) \[{{108}^{o}},{{72}^{o}}\]
B) \[{{72}^{o}},{{36}^{o}}\]
C) \[{{100}^{o}},{{80}^{o}}\]
D) \[{{144}^{o}},{{36}^{o}}\]
Correct Answer: C
Solution :
Given: \[\angle ABC\] and \[{{25}^{o}}\] \[\therefore \,\,\angle CYA=\angle CAY=40{}^\circ \] Similarly, \[{{208}^{o}}\]and \[{{52}^{o}}\] \[\Delta XYZ\] \[\Delta XYZ\] Now, \[{{60}^{o}}\] (\[{{30}^{o}}\]Sum of angles of\[{{80}^{o}}\]). Now, \[{{100}^{o}}\] \[\angle DAC={{54}^{o}}\] \[\angle ACB={{63}^{o}}\] \[\angle BAC\]\[{{72}^{o}}\]
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