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Did you make a bar model?  

 

I'd probably make a model that looks initially like:

 

(---------------105-----------)

(------X-----)(-----X-----)(-.1X-)

 

Then I'd change it all to a new variable equal to .1X, so the bottom bar would become:

 

(------10Y-----)(-----10Y-----)(--Y--)

 

From there, you would do:

105 / 21 = 5

Angle SAY = 10 Y = 50°

Angle HAS = 11Y =55°

 

 

ETA:  I'm using the word variable here- I think it's been introduced already in 6, but if not, it's more about intuition once you see the bar model that you need 21 pieces in total.

Edited by Monica_in_Switzerland
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Did you make a bar model?

 

I'd probably make a model that looks initially like:

 

(---------------105-----------)

(------X-----)(-----X-----)(-.1X-)

 

Then I'd change it all to a new variable equal to .1X, so the bottom bar would become:

 

(------10Y-----)(-----10Y-----)(--Y--)

 

From there, you would do:

105 / 21 = 5

Angle SAY = 10 Y = 50°

Angle HAS = 11Y =55°

 

 

ETA: I'm using the word variable here- I think it's been introduced already in 6, but if not, it's more about intuition once you see the bar model that you need 21 pieces in total.

Thank you! This works. I could only think of making two equations

A+B=105

A=1.1B

And then solving from there.

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I would look at it this way: the first angle is 100% of its value, and the second angle is 110% of the first angle.

 

The GCF of 100 and 110 is 10, so I would split divide both angles by 10, so the first angle will have 10 parts and the second angle will have 11 (each worth 10%).

 

Now all 21 parts equal 105 degrees, so divide 105 by 21 and you get 5 degrees. So each 10% is worth 5 degrees.

 

HAS is 10x5 and SAY is 11x5 (55).

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