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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

What is the sum of the angles in a triangle on a plane?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**Zeeshan 01****Member**- Registered: 2016-07-22
- Posts: 648

270 degree because in triangle each is 90 and 3 sides so equal to 270 degree

MZk

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**Mathegocart****Member**- Registered: 2012-04-29
- Posts: 1,882

That could only happen within spherical geometry, so try again...

The integral of hope is reality.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**Zeeshan 01****Member**- Registered: 2016-07-22
- Posts: 648

Ok it is 180 degree what is next STEP? ??

MZk

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**Mathegocart****Member**- Registered: 2012-04-29
- Posts: 1,882

In triangle abc the angle a is three times the size of that at b and half the size of the angle at c.

Clarify, is b half the size of c or a is half the size of c?? Misplaced modifiers are confusing..

The integral of hope is reality.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

I agree.

In triangle abc the angle a is three times the size of that at b and half the size of the angle at c. what is the angle at A???

A 30 b 36 degree c 54 deg d 60 degree

Assuming that we are talking about a and its relationship to b and c we can form the following equations:

a + b + c = 180

a + (a/3) + 2a = 180

Can you solve for a?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**Zeeshan 01****Member**- Registered: 2016-07-22
- Posts: 648

????

Ok a+b+c=108

So why you put all a

MZk

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**Mathegocart****Member**- Registered: 2012-04-29
- Posts: 1,882

So he could solve for the variable a.

The integral of hope is reality.

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

So he could solve for the variable a.

Correct!

Ok a+b+c=108, So why you put all a

An equation like a + b + c = 180 is likely to have an infinite number of solutions.

Thuis equation has only one.

a + (a/3) + 2a = 180

Can you solve for a?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**Zeeshan 01****Member**- Registered: 2016-07-22
- Posts: 648

Angle is three times means 3a in question and angle is is a÷2 ??? This is question or not

MZk

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

In triangle abc the angle a is three times the size of that at b and half the size of the angle at c. what is the angle at A???

A 30 b 36 degree c 54 deg d 60 degree

You start with

a + b + c = 180

It says a is 3 times b so a = 3b and b = (a / 3)

a + (a/3) + c = 180

Now the question says a = (1 / 2 ) c so c = 2a

a + (a/3) + 2a = 180

Now you solve for a.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**Zeeshan 01****Member**- Registered: 2016-07-22
- Posts: 648

10a÷3

MZk

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

You are forgetting that you have an equation:

10a÷3 = 180

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**Zeeshan 01****Member**- Registered: 2016-07-22
- Posts: 648

10a=540 so a=54

MZk

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**Zeeshan 01****Member**- Registered: 2016-07-22
- Posts: 648

Next step after a=54

MZk

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

That is the answer you should get but does it work?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**Zeeshan 01****Member**- Registered: 2016-07-22
- Posts: 648

I cannot under stand what I do I only solve a I cannot under stand question properly!!!

MZk

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

If you check your answer as I am instructing you to it will all seem clear.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**Zeeshan 01****Member**- Registered: 2016-07-22
- Posts: 648

You start with

a + b + c = 180

First you write eq of TRIANGLE? ???

MZk

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**Zeeshan 01****Member**- Registered: 2016-07-22
- Posts: 648

Ok ans is c that is 54 degree

MZk

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

To check you go back to the original question:

In triangle abc the angle a is three times the size of that at b and half the size of the angle at c. what is the angle at A???

A 30 b 36 degree c 54 deg d 60 degree

We have found that a = 54 degrees, so b is what?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**Zeeshan 01****Member**- Registered: 2016-07-22
- Posts: 648

B option is 36 deg but we have option c

MZk

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**bobbym****bumpkin**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 109,606

Not option B, I am asking what angle b is?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**** Always satisfy the Prime Directive of getting the right answer above all else.**

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**Zeeshan 01****Member**- Registered: 2016-07-22
- Posts: 648

a + b + c = 180

It says a is 3 times b so a = 3b and b = (a / 3)

*Last edited by Zeeshan 01 (2017-01-03 20:23:10)*

MZk

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