# Parallels and one secant

There are two different parallel lines a, b and a line c that intersect the two parallel lines. Draw a circle that touches all lines at the same time.

Result

x =  1

#### Solution:

$1. p; p || a , v(a,p)=v(b,p) \ \\ 2. q; q||c, v(a,p)=v(c,q) \ \\ 3. S; S=p \cap q \ \\ 4. k; k (S, r=v(a,p)) \ \\ \ \\ x=1$

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