Answer: , because they are corresponding angles of parallel lines cut by a transversal.
by Vertical angles theorem.
Step-by-step explanation:
From the given picture, we can see there are two parallel lines r and s intersected by a transversal line t.
Since corresponding angles of parallel lines cut by a transversal.
Therefore they must be equal.
Then,
Also, since are vertical angles.
Vertical angles theorem says that vertically opposite angles at any cross section must be equal.
by Vertical angles theorem.
Solution (1)
for k=0 / for k=1 / for k=-1
x=0 / x=2π / x=-2π
acc / acc / rej
solution (2)
for k=0 / for k=1 / for k=-1
x=0 / x=2π/3 / x=-2π/3
acc / acc / rej
Note that i'm trying values of K which make the answer belong to our interval;
So our solution which i will represent as a set is;
S € {0,2π/3,2π}