We know that the sum of angles in a triangle is 180 degrees, so:
m∠RST + m∠STU + m∠TRS = 180
Substituting the given angle measures, we get:
(3x+17) + (8x+1) + (3x+18) = 180
Simplifying this equation, we get:
14x + 36 = 180
Solving for x, we get:
x = 11
Therefore, the value of x is 11.
In ΔRST,
R
T
‾
RT
is extended through point T to point U,
m
∠
R
S
T
=
(
3
x
+
17
)
∘
m∠RST=(3x+17)
∘
,
m
∠
S
T
U
=
(
8
x
+
1
)
∘
m∠STU=(8x+1)
∘
, and
m
∠
T
R
S
=
(
3
x
+
18
)
∘
m∠TRS=(3x+18)
∘
. What is the value of
x
?
x?
1 answer