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Mathematics
Problem
Lines AB and CD intersect at point O. It is given that
∠
A
O
C
=
∠
C
O
B
\angle AOC = \angle COB
∠
A
O
C
=
∠
C
O
B
. Answer the following: a. (i) Prove that
∠
A
O
C
\angle AOC
∠
A
O
C
and
∠
C
O
B
\angle COB
∠
C
O
B
are right angles. b. (ii) Hence, show that the two lines AB and CD are perpendicular to each other.
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