The interior angles of a hexagon are x°,(x+20)°,(x+40)°,(x+60)°,
(x+80)° and (x-20)°.Find the smallest angle of the hexagon.
Answers
Answer:
The interior angles of a hexagon are x, x +100
, x+200
, x+300
, x+400 and x+500
.
Find x
Answer:
The smallest of all the angles is 70°
Step-by-step explanation:
Hexagon:
- A polygon with six sides is called a hexagon.
- A polygon's internal angle is the angle between its two adjacent sides.
There are two techniques to determine the sum of a hexagon's internal angles:
- Dividing the hexagon into triangles.
- Interior angle sum formula
We use here Interior angle sum formula:
Given interior angles of a hexagon are
x°, (x+20)°, (x+40)°, (x+60)°, (x+80)° and (x-20)°
Sum of the interior angles of hexagon = 720°
As per the given data
x+x+20+x+40+x+60+x+80+x-20 = 720
6x+180 = 720
6x = 720-180
6x = 540
x = 540/6
x = 90°
now substitute x = 90° in the angles given
x = 90°
x+20 = 90+20 = 110°
x+40 = 90+40 = 130°
x+60 = 90+60 = 150°
x+80 = 90+80 = 170°
x-20 = 90-20 = 70°
Hence, the smallest of all the angles is 70°.
Know more about Angle sum property:
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