question_answer

In quadrilateral\[ABCD\]\[,\] \[\angle A+\angle C={{140}^{o}}\], \[\angle A:\]\[\angle C=1:3\]and\[\angle B:\angle D=5:6\]. Find the measures of\[\angle A,\,\,\angle B,\,\,\angle C\]and\[\angle D\].

A)  \[{{35}^{o}},\,\,{{100}^{o}},\,\,{{105}^{o}},\,\,{{120}^{o}}\]

B)         \[{{60}^{o}},\,\,{{45}^{o}},\,\,{{75}^{o}},\,\,{{100}^{o}}\]

C)         \[{{20}^{o}},\,\,{{60}^{o}},\,\,{{105}^{o}},\,\,{{135}^{o}}\]

D)         \[{{45}^{o}},\,\,{{35}^{o}},\,\,{{90}^{o}},\,\,{{110}^{o}}\]