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**cooljackiec****Member**- Registered: 2012-12-13
- Posts: 185

just started at geometry.

Two lines intersect such that the measure of each obtuse angle formed by the lines is three times the measure of each acute angle formed by the lines. What is the measure, in degrees, of an obtuse angle formed by the lines?

I see you have graph paper.

You must be plotting something

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,846

Hi;

3x + x = 180

4x = 180

x = 45° that is the acute angle.

3x = 3 * 45 = 135° is the obtuse angle.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**cooljackiec****Member**- Registered: 2012-12-13
- Posts: 185

What is the number of degrees in the smaller angle formed by the hands of a clock at 5:44?

I see you have graph paper.

You must be plotting something

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,846

Hi;

I am getting 92° .

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**cooljackiec****Member**- Registered: 2012-12-13
- Posts: 185

aw, i was off by 30...

I see you have graph paper.

You must be plotting something

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,846

Use this to help you calculate it.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 7,613

hi cooljackiec

At 5.44 the minute hand is pointing at exactly the 44 spot on the face. So the angle between 00 minutes and 44 minutes will be 44/60 of 360 degrees ie. 6 degrees between each minute.

The hour hand will have moved somewhere between the 5 hour point and the 6 hour point.

That angle (5 - 6) is 5 x 6 = 30 degrees. The hour hand is at 44/60 of that amount. ie. 22 from the 5 point. Put those two bits of information together and you will get the answer.

Bob

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**cooljackiec****Member**- Registered: 2012-12-13
- Posts: 185

can mathisfun use asymptote to draw pictures?

I see you have graph paper.

You must be plotting something

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,846

Asymptote, that is a program that another forum uses isn't it?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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**cooljackiec****Member**- Registered: 2012-12-13
- Posts: 185

yes. It is in AoPS. How can we submit images other than hand drawing?

I see you have graph paper.

You must be plotting something

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 104,846

There are online drawing programs and there is the best, Geogebra!

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.**

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