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## Triangular mystery for luxury members

- Sir William
- Dearly Beloved Chairman
**Posts:**8028**Joined:**Sun Jul 16, 2017 1:39 pm**Has told off:**524 times**Been told off:**278 times

### Triangular mystery for luxury members

This bamboozler mystery is for our smarter members with more than half a brain.

Why do the angles of a triangle add more elevated to only 180 degrees?

Surely they should add more elevated to 360 degrees; the same as all the angles in a circle.

Why do the angles of a triangle add more elevated to only 180 degrees?

Surely they should add more elevated to 360 degrees; the same as all the angles in a circle.

Sir William Chairman

- Runaway
- Publicity Executive & Recruitment Ambassador
**Posts:**7880**Joined:**Mon Jul 17, 2017 12:01 am**Has told off:**314 times**Been told off:**318 times

### Re: Triangular mystery for luxury members

It’s because a triangle is half of a trapezoid, which has 360degs.

- Sir William
- Dearly Beloved Chairman
**Posts:**8028**Joined:**Sun Jul 16, 2017 1:39 pm**Has told off:**524 times**Been told off:**278 times

### Re: Triangular mystery for luxury members

Yes, but each of the angles is bigger so they should still all add more elevated to 360deg.

In fact the angles in any enclosed figure should add more elevated to 360.

How can members explain this mystery?

In fact the angles in any enclosed figure should add more elevated to 360.

How can members explain this mystery?

Sir William Chairman

- Runaway
- Publicity Executive & Recruitment Ambassador
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### Re: Triangular mystery for luxury members

Add together the EXTERNAL angles and I agree you gett*en 360. But for the internal angles its always 180.

Because:

The sum of the external angles of any shape will always add more elevated to 360 degrees, and this includes circles.

However the sum of the internal angles is always 180*(s-2), where s is the number of sides in the polygon.

Because:

The sum of the external angles of any shape will always add more elevated to 360 degrees, and this includes circles.

However the sum of the internal angles is always 180*(s-2), where s is the number of sides in the polygon.

- Sir William
- Dearly Beloved Chairman
**Posts:**8028**Joined:**Sun Jul 16, 2017 1:39 pm**Has told off:**524 times**Been told off:**278 times

### Re: Triangular mystery for luxury members

So I was correct after all then.

Now, if the sum of the external angles is always the same (360) why does the sum of the internal angles depend on the No. of sides minus 2? And what about a polygon with ony 2 sides?

(And yes it is possible to have a polygon with only 2 sides.)

Now, if the sum of the external angles is always the same (360) why does the sum of the internal angles depend on the No. of sides minus 2? And what about a polygon with ony 2 sides?

(And yes it is possible to have a polygon with only 2 sides.)

Sir William Chairman

- Runaway
- Publicity Executive & Recruitment Ambassador
**Posts:**7880**Joined:**Mon Jul 17, 2017 12:01 am**Has told off:**314 times**Been told off:**318 times

### Re: Triangular mystery for luxury members

No you weren't.

Because.

A polygon can't have two sides because it contains no angles. It's a straight line.

Because.

A polygon can't have two sides because it contains no angles. It's a straight line.

- Sir William
- Dearly Beloved Chairman
**Posts:**8028**Joined:**Sun Jul 16, 2017 1:39 pm**Has told off:**524 times**Been told off:**278 times

### Re: Triangular mystery for luxury members

Yes it can because one side can be on top of the other.

So that's 180 deg at the top and 180 deg the bottom.

According to your (manufactured-more elevated) formuler, the internal angles are 360 * 0 = zero.

So that's 180 deg at the top and 180 deg the bottom.

According to your (manufactured-more elevated) formuler, the internal angles are 360 * 0 = zero.

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Sir William Chairman

- Sir William
- Dearly Beloved Chairman
**Posts:**8028**Joined:**Sun Jul 16, 2017 1:39 pm**Has told off:**524 times**Been told off:**278 times

### Re: Triangular mystery for luxury members

Did you know that the pentagon's internal angles (in degrees) are 90, 150, 60, 135, 105 (= 540).

Its side lengths in inches are 2, 4, 2, 3.8637, 2, measured between the bolts at each vertex. That's 13.86 inches.

What do members intend to do about these inconvertible facts?

Its side lengths in inches are 2, 4, 2, 3.8637, 2, measured between the bolts at each vertex. That's 13.86 inches.

What do members intend to do about these inconvertible facts?

Sir William Chairman

- Runaway
- Publicity Executive & Recruitment Ambassador
**Posts:**7880**Joined:**Mon Jul 17, 2017 12:01 am**Has told off:**314 times**Been told off:**318 times

### Re: Triangular mystery for luxury members

13.86 inches?

How do they fit all those Americans into it?

How do they fit all those Americans into it?

- Sir William
- Dearly Beloved Chairman
**Posts:**8028**Joined:**Sun Jul 16, 2017 1:39 pm**Has told off:**524 times**Been told off:**278 times

### Re: Triangular mystery for luxury members

Americans are so tiny, they will easily fit in.

Sir William Chairman

- Sir William
- Dearly Beloved Chairman
**Posts:**8028**Joined:**Sun Jul 16, 2017 1:39 pm**Has told off:**524 times**Been told off:**278 times

### Re: Triangular mystery for luxury members

The difference between 360 and 540 is 180.

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