Câu 8:
Xét ΔABC có \(\widehat{BAC}+\widehat{ACB}+\widehat{ABC}=180^0\)
=>\(\widehat{BAC}+\widehat{ACB}=180^0-68^0=112^0\)
=>\(2\cdot\widehat{DAC}+2\cdot\widehat{DCA}=112^0\)
=>\(2\left(\widehat{DAC}+\widehat{DCA}\right)=112^0\)
=>\(\widehat{DAC}+\widehat{DCA}=56^0\)
XétΔDAC có \(\widehat{DAC}+\widehat{DCA}+\widehat{ADC}=180^0\)
=>\(\widehat{ADC}+56^0=180^0\)
=>\(\widehat{ADC}=124^0\)
Câu 7:
ĐKXĐ: x<>1
Để M là số nguyên thì \(2x-5⋮x-1\)
=>\(2x-2-3⋮x-1\)
=>\(-3⋮x-1\)
=>\(x-1\in\left\{1;-1;3;-3\right\}\)
=>\(x\in\left\{2;0;4;-2\right\}\)