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Mathematics
Problem
Lines AB and CD intersect at point O. Rays OX and OY are the bisectors of
∠
A
O
C
\angle AOC
∠
A
O
C
and
∠
C
O
B
\angle COB
∠
C
O
B
respectively. Answer the following: a. (i) Show that
∠
A
O
C
+
∠
C
O
B
=
180
∘
\angle AOC + \angle COB = 180^{\circ}
∠
A
O
C
+
∠
C
O
B
=
18
0
∘
. b. (ii) Prove that
∠
X
O
Y
=
90
∘
\angle XOY = 90^{\circ}
∠
X
O
Y
=
9
0
∘
.
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