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Triangles and are congruent in the same order
MATHEMATICS · Subjective · CBSE · Mathematics · Triangles · Triangles
Problem
Triangles
△
L
M
N
\triangle LMN
△
L
M
N
and
△
P
Q
R
\triangle PQR
△
P
QR
are congruent in the same order. The measures of their corresponding angles are:
∠
L
=
(
4
a
−
7
)
∘
\angle L = (4a - 7)^{\circ}
∠
L
=
(
4
a
−
7
)
∘
,
∠
M
=
(
3
a
+
2
)
∘
\angle M = (3a + 2)^{\circ}
∠
M
=
(
3
a
+
2
)
∘
,
∠
P
=
(
2
b
+
5
)
∘
\angle P = (2b + 5)^{\circ}
∠
P
=
(
2
b
+
5
)
∘
and
∠
Q
=
(
b
+
29
)
∘
\angle Q = (b + 29)^{\circ}
∠
Q
=
(
b
+
29
)
∘
. Find the values of
a
a
a
and
b
b
b
.
Related theory
Triangle Congruence
Triangle Congruence Criteria
Triangles
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