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Byju's Answer
Standard XII
Mathematics
Condition for Two Lines to Be Parallel
ABC is right ...
Question
A
B
C
is right angle in which
∠
A
=
90
o
A
B
=
A
C
. Find
∠
B
and
∠
C
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Solution
In
△
A
B
C
,
∠
B
A
C
=
90
°
A
B
=
A
C
∴
∠
A
B
C
=
∠
A
C
B
=
x
(Since, angles opposite to congruent sides are congruent)
In
△
A
B
C
∠
A
+
∠
B
+
∠
C
=
180
°
(Angle sum property)
90
°
+
2
x
=
180
°
⇒
x
=
45
°
∴
∠
B
=
∠
C
=
45
°
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Condition for Two Lines to Be Parallel
Standard XII Mathematics
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