Word Angle Problem and Sum of Measures of Acute Angles

Find the sum of the measures of the five acuteangles 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???

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.

The sum of the measures fo two complementary angles is 90 degrees. If one anglemeasures 24 degrees more than twice the measure of the other, find the measure of the smaller angle.
The smaller anglemeasures _ degrees?

In a triangle the sum of the angles is 180 degrees. If Angle A is four times Angle B andAngle C is 27 degrees more than three times Angle A. Find the measures of the three angles to the nearest degree.

In a triangle the sum of the angles is 180 degrees. If Angle A is four times Angle B andAngle C is 27 degrees more than three times Angle A. Find the measures of the three angles to the nearest degree.

On a sheet of dot paper or on a geoboard like the one shown, create the following:
1. Right angle
2. Acuteangle
3. Obtuse angle
4. Adjacent angles
5. Parallel segments
6. Intersecting segments

Draw a diagram of a Saccheri quadrilateral ABDC, where
(a) A and B are a pair of consecutive vertices
(b) sides AD and BC are a pair of opposite sides
(c) angles A and B are right angles
(d) sides AD and BC are congruent.
Then let M be the midpoint of AB, and drop a perpendicular from M to CD with foot N.
Once

1. In a certain triangle the measure of one angle is double the measure of a second angle but is 10 degrees less than the measure of the third angle. [The sum of the measures of three interior angles of a triangle is always 180 degrees.] Form an algebraic equation to express the problemand identify the variables, coefficients,

Please give a through explanation to the following. thank you
Answer true or false.
a. If each of two isosceles triangles has an angle that measures 120 degrees, then the two isosceles triangles must be similiar.
b. If each of two isosceles triangles has an angle that measures 40 degrees, then the two isosceles triangles m

Please help with the following problems on geometry and topology. Provide step by step calculations. See the attached files for diagrams to go along with the questions.
Find the value of x and any unknown angles.
Find the measure of one angle in the polygon. Round to nearest tenth if needed.
4. Regular 30-gon 5. Regular