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Four angles of a hexagon measure 130°, 140°, 150°, and 140°. Find the measures of the other two angles if they are in the ratio 2:3. Write your solution and answer on your answer sheets.
Four angles of a hexagon measure 130°, 140°, 150°, and 140°. Find the measures of the other two angles if they are in the ratio 2:3. Write your solution and answer on your answer sheets.
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Answer:
20°
Step-by-step explanation:
The answer is
20
o
because:
Total sum of interior angle:
720
o
Each angle measures:
140
o
6 side: ?
5 sides:
140
⋅
5
=
700
or
140
+
140
+
140
+
140
+
140
=
700
We will add up all the sides to get the total of all the 5 sides.
6 side:
720
−
700
=
20
We will now subtract the total of all the 5 sides, which is
700
o
, from the total angle of the hexagon, which is
720
o
, to get the 6th side.
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Sum of internal angles in a hexagon is 720
Five angles is 140x5=700
Remaining angle is 720-700=20