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Byju's Answer
Standard IX
Mathematics
Congruent Triangles
In the adjoin...
Question
In the adjoining figure find the values of
x
and
y
.
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Solution
In the given figure
∠
P
Q
R
+
∠
S
Q
P
=
180
o
∠
=
180
−
115
o
=
65
o
[liner pair]
now
∠
P
Q
R
=
x
=
∠
P
Q
R
{given]
∴
∠
P
Q
T
=
∠
P
Q
R
=
65
o
Now In
Δ
P
Q
R
∠
P
+
∠
Q
+
R
=
180
o
[ angle sum property]
y
+
2
x
=
180
y
=
180
−
130
=
50
Hence
[
x
=
65
o
a
n
d
y
=
50
o
]
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