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Mathematics
Mathematics
Problem
In a circle with centre O, chords
A
B
AB
A
B
and
C
D
CD
C
D
are equal. They subtend angles
∠
A
O
B
=
(
2
x
+
20
)
∘
\angle AOB = (2x + 20)^{\circ}
∠
A
O
B
=
(
2
x
+
20
)
∘
and
∠
C
O
D
=
(
5
x
−
55
)
∘
\angle COD = (5x - 55)^{\circ}
∠
C
O
D
=
(
5
x
−
55
)
∘
at the centre. Find the value of
x
x
x
. a)
30
30
30
b)
25
25
25
c)
15
15
15
d)
70
3
\dfrac{70}{3}
3
70
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