Solve
Guides
Join / Login
Use app
Login
0
You visited us
0
times! Enjoying our articles?
Unlock Full Access!
Standard IX
Mathematics
Question
In given figure, AOB is a diameter of the circle and C, D, E are any three points on the semi-circle. Find the value of
∠
A
C
D
+
∠
B
E
D
.
540
o
270
o
180
o
120
o
A
540
o
B
270
o
C
180
o
D
120
o
Open in App
Solution
Verified by Toppr
G
i
v
e
n
−
A
O
B
E
D
C
i
s
a
p
o
l
y
g
o
n
i
n
s
c
r
i
b
e
d
i
n
a
c
i
r
c
l
e
w
i
t
h
c
e
n
t
r
e
O
a
n
d
d
i
a
m
e
t
e
r
A
O
B
.
T
o
f
i
n
d
o
u
t
−
∠
A
C
D
+
∠
B
E
D
=
?
S
o
l
u
t
i
o
n
−
W
e
j
o
i
n
A
E
&
B
C
.
A
C
D
E
i
s
a
c
y
c
l
i
c
q
u
a
d
r
i
l
a
t
e
r
a
l
.
∴
∠
A
C
D
+
∠
A
E
D
=
180
o
.
.
.
.
.
.
.
.
(
i
)
S
i
m
i
l
a
r
l
y
B
C
D
E
i
s
a
c
y
c
l
i
c
q
u
a
d
r
i
l
a
t
e
r
a
l
.
∴
∠
B
E
D
+
∠
B
C
D
=
180
o
.
.
.
.
.
.
.
.
(
i
i
)
.
(
∵
T
h
e
s
u
m
o
f
t
h
e
o
p
p
o
s
i
t
e
p
a
i
r
o
f
a
n
g
l
e
s
o
f
a
c
y
c
l
i
c
q
u
a
d
r
i
l
a
t
e
r
a
l
=
180
o
)
A
g
a
i
n
∠
A
C
B
=
90
o
=
∠
A
E
B
.
.
.
.
.
.
.
.
.
(
i
i
i
&
i
v
)
(
∵
T
h
e
a
n
g
l
e
s
u
b
t
e
n
d
e
d
b
y
t
h
e
d
i
a
m
e
t
e
r
o
f
a
c
i
r
c
l
e
a
t
t
h
e
c
i
c
u
m
f
e
r
e
n
c
e
=
90
o
)
.
A
d
d
i
n
g
(
i
)
,
(
i
i
)
,
(
i
i
i
)
&
(
i
v
)
w
e
g
e
t
∠
A
C
D
+
∠
A
E
D
+
∠
B
E
D
+
∠
B
C
D
+
∠
A
C
B
+
∠
A
E
B
=
180
o
+
180
o
+
90
o
+
90
o
=
540
o
⟹
(
∠
A
C
D
+
∠
B
E
D
)
+
(
∠
B
C
D
+
∠
B
C
D
)
+
(
∠
A
E
D
+
∠
A
E
B
)
=
540
o
⟹
(
∠
A
C
D
+
∠
B
E
D
)
+
∠
A
C
D
+
∠
B
E
D
=
540
o
⟹
2
(
∠
A
C
D
+
∠
B
E
D
)
=
540
o
⟹
∠
A
C
D
+
∠
B
E
D
=
270
O
.
A
n
s
−
O
p
t
i
o
n
B
.
Was this answer helpful?
0
Similar Questions
Q1
In given figure, AOB is a diameter of the circle and C, D, E are any three points on the semi-circle. Find the value of
∠
A
C
D
+
∠
B
E
D
.
View Solution
Q2
In the given figure, AOB is a diameter of the circle and C, D, E are any three points on the semi-circle. Find the value of
(
∠
A
C
D
+
∠
B
E
D
)
(in degrees)
View Solution
Q3
In the figure, AOB is a diameter of the circle and C, D, E are any three points on the semi-circle. The value of
∠
A
C
D
+
∠
B
E
D
=
.
View Solution
Q4
Question 19
In the figure, AOB is a diameter of the circle and C, D, E are any three points on the semi-circle. Find the value of
∠
A
C
D
+
∠
B
E
D
.
View Solution
Q5
In the given figure, AOB is a diameter of the circle and C, D , E are any three points to semi circle then ∠ACD + ∠BED = _______