# Word Angle Problem and Sum of Measures of Acute Angles

Find the sum of the measures of the five acute angles that maup up this star......

OK so for this I noticed the 5 triangles that make up the star so i multiplied 180 x 5=900

Then to get the acute angles I did 180/5 and got 36... So the triangle measure would be 72 + 72 +36=180

Acute angles = 36....???

Second problem... If the area of square C is 64 units and the area of square d is 81 sq units, what are the areas of the other seven squares....

A 36 6^2

B 49 7 ^2

C 64 8^2

D 81 9^2

E 100 10^2

F121 11^2

G144 12^2

H 169 13^2

I 196 14^2

I found a pattern and just went with it...Did I do this correctly???

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#### Solution Preview

I do not believe either of these is correct .

looking at the squares C and D are much smaller than A and B however you are stating in your thought that this is 6 squared that this is smaller than C or D. Actually looking at the picture these are not squares dipicted in your pictures but rather various rectangles. Although the picture may be bad that is showing for my copy.

A check I suggest is to cut ...

#### Solution Summary

The sum of measures of acute angles are determined. A pattern is examined.