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Byju's Answer
Standard IX
Mathematics
Angle Subtended by Diameter on the Circle
39. angle ABG...
Question
39. angle ABG = angle DCH angle GBC = angle HCB GD and AH are line segments. Show that AE+AB/2(ED+DC) = 1/2
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Similar questions
Q.
A
B
is a line segment and
P
is its mid-point.
D
and
E
are points on the same side of
A
B
such that
∠
B
A
D
=
∠
A
B
E
and
∠
E
P
A
=
∠
D
P
B
. Show that
A
D
=
B
E
.
Q.
In pentagon
A
B
C
D
E
, sides
A
B
and
A
E
are perpendicular to each other,
∠
B
=
112
∘
,
A
B
and
D
C
when produced meet at right angle and
∠
D
:
∠
E
=
1
:
2
. Find
∠
E
(in degrees)
Q.
The sides BC, CA and AB of
Δ
A
B
C
are produced in order to form exterior angles
∠
A
C
D
,
∠
A
B
G
, and
∠
C
A
E
then
∠
A
C
D
+
∠
C
A
E
+
∠
A
B
G
is
Q.
A
B
is a line segment and
P
is its mid-point.
D
and
E
are points on the same side of
A
B
such that
∠
B
A
D
=
∠
A
B
E
and
∠
E
P
A
=
∠
D
P
B
. Show that
Δ
D
A
P
≅
Δ
E
B
P
.
Q.
AB is a line segment and C is the midpoint, D and E are points on the same side of AB such that
∠
D
C
A
=
∠
E
C
B
and
∠
D
B
C
=
∠
E
A
C
then (i)
Δ
D
B
C
≅
Δ
E
A
C
(ii)
D
C
=
E
C
both statements are
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