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Byju's Answer
Standard IX
Mathematics
Theorem of Equal Chords Subtending Angles at the Center
70∘ and AB = ...
Question
Find the value of x in the given figure if
∠
A
O
B
=
70
°
and AB = CD.
A
50°
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B
60°
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C
70°
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D
80°
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Solution
The correct option is
C
70°
Given that AB = CD.
The angle subtended by chord AB is
∠
A
O
B
,
and angle subtended by chord CD is
∠
C
O
D
= x.
We know that equal chords subtend equal angles at the centre.
∴
⇒
∠
A
O
B
=
∠
C
O
D
Thus, x = 70°.
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