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Byju's Answer
Standard VIII
Mathematics
Congruent Arcs
In the figure...
Question
In the figure, chords AB and PQ are equal, angle
∠
A
O
B
=
55
°
and
∠
P
O
Q
=
x
,
then find the measure of
x
.
A
35
°
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B
155
°
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C
55
°
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D
125
°
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Solution
The correct option is
C
55
°
Given,
A
B
=
P
Q
.
Since equal chords subtend equal angles at the centre, we have
∠
A
O
B
=
∠
P
O
Q
.
∠
A
O
B
=
55
°
⇒
∠
x
=
∠
P
O
Q
=
55
°
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Similar questions
Q.
In a circle with centre O, the chord PQ ≅ chord AB and m∠AOB = 70°. Find the measure of ∠POQ.