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Byju's Answer
Standard IX
Mathematics
Angle Sum Property of a Quadrilateral
The measure o...
Question
The measure of angles of a hexagon are x°, (x − 5)°, (x − 5)°, (2x − 5)°, (2x − 5)°, (2x + 20)°. Find the value of x.
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Solution
Since
the
sum
of
all
the
angles
of
a
hexagon
is
720
°
,
we
get
:
x
°
+
x
-
5
°
+
x
-
5
°
+
2
x
-
5
°
+
2
x
-
5
°
+
2
x
+
20
°
=
720
°
⇒
x
°
+
x
°
-
5
°
+
x
°
-
5
°
+
2
x
-
5
°
+
2
x
-
5
°
+
2
x
+
20
°
=
720
°
⇒
9
x
-
20
°
+
20
°
=
720
°
⇒
9
x
=
720
°
∴
x
=
80
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Similar questions
Q.
The measures of angles of hexagon are x°, x-5°, 2x-5°,
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