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Byju's Answer
Standard IX
Mathematics
Postulate5
In ABC, ∠ A...
Question
In
△
A
B
C
,
∠
A
is
50
o
. Find
∠
B
and
∠
C
id they are in the ratio
2
:
3
.
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Solution
Let
∠
B
and
∠
C
be
2
x
and
3
x
respectively.
∠
A
=
50
°
(
Given
)
From angle sum property of triangle,
∠
A
+
∠
B
+
∠
C
=
180
°
50
°
+
2
x
+
3
x
=
180
°
⇒
5
x
=
180
°
−
50
°
⇒
x
=
130
°
5
=
26
°
Therefore,
∠
B
=
2
x
=
2
×
26
°
=
52
°
∠
C
=
3
x
=
3
×
26
°
=
78
°
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0
Similar questions
Q.
Show that in two triangles
Δ
ABC and
Δ
DEF, whether in the following conditions they are similar or not. Why?
(i)
∠
A
=
30
o
,
∠
B
=
50
o
,
∠
C
=
80
o
(ii)
∠
D
=
50
o
,
∠
E
=
30
o
,
∠
F
=
80
o
.
Q.
In a
△
A
B
C
,
A
B
=
A
C
and
∠
A
=
50
o
. Find
∠
B
and
∠
C
.
Q.
In
Δ
ABC, the bisector AX of
∠
A
intersects BC at X. XL
⊥
AB a
nd XM
⊥
AC are drawn. Is XL = XM?
Q.
In a triangle ABC, it is given that
∠
B
=
105
o
and
∠
C
=
50
o
. Find
∠
A
.
Q.
In
△
A
B
C
and
△
D
E
F
,
∠
A
=
50
o
,
∠
B
=
70
o
,
∠
C
=
60
o
,
∠
D
=
60
o
,
∠
E
=
70
o
,
∠
F
=
50
o
, then
△
A
B
C
is similar to:
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Standard IX Mathematics
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