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Byju's Answer
Standard VIII
Mathematics
Introduction to Curves
In the given ...
Question
In the given figure, ABCD and ABEF are two cyclic quadrilateral. If
∠
B
C
D
=
110
∘
t
h
e
n
∠
B
E
F
=
?
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Solution
Since ABCD is a cyclic quadrilateral, we have:
∠
B
A
D
+
∠
B
C
D
= 180°
⇒
∠
B
A
D
+ 110° = 180°
⇒
∠
B
A
D
= (180° - 110°) = 70°
Similarly in ABEF, we have:
∠BAD +
∠
B
E
F
= 180°
⇒ 70 ° +
∠
B
E
F
= 180°
⇒
∠
B
E
F
= (180° - 70°) = 110°
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Similar questions
Q.
In the given figure, ABCD and ABEF are two cyclic quadrilaterals. If
∠BCD = 110°, then ∠BEF = ?
(a) 55°
(
b
) 70°
(
c
) 90°
(d) 110°