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Mathematics
Mathematics
Problem
In
△
P
Q
R
\triangle PQR
△
P
QR
,
P
Q
=
P
R
PQ = PR
P
Q
=
P
R
. One of the base angles measures
(
3
x
+
5
)
∘
(3x + 5)^{\circ}
(
3
x
+
5
)
∘
and the vertex angle measures
(
2
x
+
25
)
∘
(2x + 25)^{\circ}
(
2
x
+
25
)
∘
. Find the value of
x
x
x
and then determine each of the three interior angles of the triangle.
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