#include<bits/stdc++.h>
using namespace std;
#define double long double
const double eps=1e-9;
const double PI=acos(-1);
int sgn(double x)
{
	if(x>=eps) return 1;
	else if(x<-eps) return -1;
	return 0;
}
struct Vec
{
	double x,y;
	Vec(double a=0,double b=0) {x=a,y=b;}
	double norm() {return sqrt(x*x+y*y);}
};
Vec operator + (const Vec &x,const Vec &y) {return Vec(x.x+y.x,x.y+y.y);}
Vec operator - (const Vec &x,const Vec &y) {return Vec(x.x-y.x,x.y-y.y);}
Vec operator * (const Vec &x,const double &y) {return Vec(x.x*y,x.y*y);}
double cross(const Vec &x,const Vec &y) {return x.x*y.y-x.y*y.x;}
Vec norm(Vec x,double r)
{
	r/=x.norm();
	return x*r;
}
#define N 105
vector<Vec> a[N];
double S[N];
int n,m;
Vec b[N],c[N]; double z1[N],z2[N];
int vis[N];
double Area(const vector<Vec> &v)
{
	double sum=0;
	for(int j=1;j+1<(int)v.size();j++) sum+=cross(v[0]-v[j],v[0]-v[j+1]);
	return sum;
}
int chk(double theta)
{
	for(int i=1;i<=n;i++) vis[i]=0;
	for(int i=1;i<=m;i++)
	{
		double r1=z1[i]*tan(theta),r2=z2[i]*tan(theta);
		Vec v=c[i]-b[i];
		Vec trans(-v.y,v.x);
		vector<Vec> out(4);
		out[0]=b[i]+norm(trans,r1);
		out[1]=b[i]-norm(trans,r1);
		out[2]=c[i]-norm(trans,r2);
		out[3]=c[i]+norm(trans,r2);
		/*
		auto inside=[&](Vec v)
		{
			double sum=0;
			sum+=abs(cross(v-out[0],v-out[1]));
			sum+=abs(cross(v-out[1],v-out[2]));
			sum+=abs(cross(v-out[2],v-out[3]));
			sum+=abs(cross(v-out[3],v-out[0]));
			return sgn(sum-area)==0;
		};
		*/
		auto inside=[&](Vec v)
		{
			int fl0=sgn(cross(out[0]-out[1],out[0]-v));
			int fl1=sgn(cross(out[1]-out[2],out[1]-v));
			int fl2=sgn(cross(out[2]-out[3],out[2]-v));
			int fl3=sgn(cross(out[3]-out[0],out[3]-v));
			if(fl0>=0&&fl1>=0&&fl2>=0&&fl3>=0) return 1;
			if(fl0<=0&&fl1<=0&&fl2<=0&&fl3<=0) return 1;
			return 0;
		};
		for(int j=1;j<=n;j++)
		{
			int ok=1;
			for(Vec v:a[j]) ok&=inside(v);
			if(ok) vis[j]=1;
		}
	}
	for(int i=1;i<=n;i++) if(!vis[i]) return 0;
	return 1;
}
signed main()
{
#ifdef xay5421
	freopen("a.in","r",stdin);
#endif	
	cin>>n>>m;
	for(int i=1;i<=n;i++)
	{
		int s; scanf("%d",&s);
		a[i].resize(s);
		for(int j=0;j<s;j++) scanf("%Lf %Lf",&a[i][j].x,&a[i][j].y);
		S[i]=Area(a[i]);
	}
	for(int i=1;i<=m;i++) scanf("%Lf %Lf %Lf %Lf %Lf %Lf",&b[i].x,&b[i].y,&z1[i],&c[i].x,&c[i].y,&z2[i]);
	double l=0,r=PI/2;
	for(int it=1;it<=100;it++)
	{
		double mid=(l+r)/2;
		if(chk(mid)) r=mid;
		else l=mid;
	}
	if(r==PI/2) printf("impossible\n");
	else printf("%.10Lf\n",l/PI*180);
	return 0;
}