Ответ:

1) ∠A≈44°; ∠B≈100°; ∠C≈36°

2) ∠А≈11°; ∠С159°; АВ≈14,5см

Объяснение:

1)

теорема косинусів:

cos∠B=(AB²+BC²-AC²)/(2*AB*BC)=

=(6²+7²-10²)/(2*6*7)=(36+49-100)/84=

=-15/84≈-0,1786

∠B=arccos-0,1786≈100°

cos∠C=(AC²+BC²-AB²)/(2*AC*BC)=

=(100+49-36)/(2*10*7)=

=113/140≈0,8071

∠C=arccos0,8071≈36°

∠A=180°-∠B-∠C=180°-100°-36°≈

≈44°

___________

2)

теорема синусів.

ВС/sin∠A=AC/sin∠B

sin∠A=BC*sin∠B/AC=

=8*sin10°/7=8*0,1736/7=

=0,1984

∠A=arcsin0,1984≈11°

∠C=180°-∠A-∠B=180°-10°-11°=

=159°

AC/sin∠B=AB/sin∠C

AB=AC*sin∠C/sin∠B=

=7*sin159°/sin∠10°=7*0,3584/0,1736=

≈14,5см