Xét tứ giác PSQR có :
^P + ^Q + ^S + ^R = 360^o
Mà ^S = 65^o ; ^R = 95^o
=> ^P + ^Q = 360^o - 65^o - 95^o
=> ^P + ^Q = 200^o
=> x + x = 200^o
=> 2x = 200^o
=> x = 100^o
Vậy x = 100^o
xét tứ giác PSRQ,có:
\(\widehat{P}+\widehat{S}+\widehat{R}+\widehat{Q}=360^o\)
Mà \(\widehat{R}=95^o\) ; \(\widehat{S}=65^o\) ; \(\widehat{Q}=\widehat{P}=x\) nên:
\(95^o+65^o+x+x=360^o\)
\(\Rightarrow160^o+2x=360^o\)
\(\Rightarrow2x=200^o\)
\(\Rightarrow x=100^o\)