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Maths CBSE Live product
Class 9
Lines and angles
PT2 Revision II - Lines and angles
8.
Exemplar - Prove the given
Question:
5
m.
In the
Image
, \(∠ L> ∠M\), \(KB\) is the bisector of \(∠LKM\) and \(KA⊥ LM\).
Demonstrate that
\(∠BKA=\frac{1}{2}(∠L−∠M)\).
\(∠LKB=∠BKM\) (\(KB\)
is Perpendicular to each other
Vertically opposite
Corresponding sides
Bisects
)
In \(△KLA\),
\(∠L=\)
180
360
90
99
\(^°−∠LKA\) --------(2)
Again, in \(△KAM \),
\(∠M\)=
180
360
90
99
\(^°−∠MKA\) -------.(3)
\(∠L−∠M=\)
3
0
1
2
\(∠BKA\)
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