Answer:
(1)
B. Corresponding angles
(2)
C. <1, <3
(3)
A. Converse of corresponding angles
Step-by-step explanation:
(1)
we know that
<1 and <2 are corresponding angles
and corresponding angles are equal if two lines are parallel
Since, l and k are parallel
so, if <1 =<2
B. Corresponding angles
(2)
Since, m and k are parallel
so, corresponding angles must be equal
and corresponding angles must be equal
so,
<1 = <3
C. <1, <3
(3)
now, we got
we have got
<2 =<3
and these two are corresponding angles
and they are equal
so, lines l and m are parallel by using converse of corresponding angles
A. Converse of corresponding angles