Question

3) The angles of a pentagon
4) The angles of a hexagon are in the ratio 1: 2: 3: 4: 6: 8. Find the measure of the smallest and the biggest
angles.
clic ASO​

Answer 1

Answer: HEY, HERE IS YOUR ANSWER !

Step-by-step explanation:

Let the angles of the hexagon be x ,2x ,3x ,4x, 5x and 6x .

As we know that the sum of all angles of a hexagon is 720° .

We have ,

x +2x+ 3x+ 4x +6x +8x = 720°

=> 24x =720°

=> x= 720/24

=> x= 30° .

Hence ,The angles of the given hexagons are

x=30°.

2x= 2×30 =60°

3x= 3×30 =90°

4x= 4×30=120°

6x= 6×30=180°

8x= 8×30 =240°

Therefore ,the smallest angle is 30° and the greatest angles is 240° .

Hope it helps ........

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