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In , side is produced to point so that is an exterior angle of . Which of the…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
P
Q
R
\triangle PQR
△
P
QR
, side
Q
P
QP
QP
is produced to point
S
S
S
so that
∠
R
Q
S
\angle RQS
∠
R
QS
is an exterior angle of
124
∘
124^\circ
12
4
∘
. Which of the following is always true for the triangle? (a)
∠
P
+
∠
Q
=
124
∘
\angle P + \angle Q = 124^\circ
∠
P
+
∠
Q
=
12
4
∘
(b)
∠
P
+
∠
Q
+
∠
R
=
124
∘
\angle P + \angle Q + \angle R = 124^\circ
∠
P
+
∠
Q
+
∠
R
=
12
4
∘
(c)
∠
P
+
∠
R
=
124
∘
\angle P + \angle R = 124^\circ
∠
P
+
∠
R
=
12
4
∘
(d)
∠
P
+
∠
R
=
56
∘
\angle P + \angle R = 56^\circ
∠
P
+
∠
R
=
5
6
∘
Related theory
Properties of Triangles
Triangle Properties
Triangle inequalities
Triangles
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