#### Question

# What is the sum of the measures of the angles in a kite?

1. Solve for y

http://i190.photobucket.com/albums/z246/dropdeadnessa/Math%20Homework/1.gif

a. 52

b. 44

c. 38

d. 26

2. Solve for x

http://i190.photobucket.com/albums/z246/dropdeadnessa/Math%20Homework/2.gif

a. 52

b. 36

c. 50

d. 54

3. Solve for x

http://i190.photobucket.com/albums/z246/dropdeadnessa/Math%20Homework/3.gif

a. 4

b. 16

c. 8

d. 12

4. DB=22 and EB=x+4, find x.

http://i190.photobucket.com/albums/z246/dropdeadnessa/Math%20Homework/4.gif

a. 7

b. 9

c. 11

d. 4

5. The sum of the measures of the angles in a kite is:

a. 90

b. 180

c. 270

d. 360

#### Answers

1. As you can see, 52degree + 90degree + y forms a triangle. So to find y, 180degree - 52degree - 90degree. y = 38degree.

2. Both lines are equal. So the two angles must be the same too. x+2 = 52. Then, x = 50

3. Again, using the concept of equal lines. 2x+10 = 3x-6. Solve the equation, x = 16

4. E is midpoint of DB. So EB or ED is 1/2 of the total length. 22/2 = 11. x+4 = 11. Then, x = 7

5. Since a kite is quadrilateral, so the sum of all its angles will always be 360.

1) 90 - 52 = 38

2) boy, you have the tic marks indicating the angles are the same. if one is 52 and the other is x + 2 then 50 + 2 = 52. so x = 50

3) they are equal so set them equal. 2x + 10 = 3x -6 , collect like terms. x = 16

4) boy, you can do these, stop and think them through! if one side to the other is 22, then how far is half way? 11 correct, then x + 4 = 11 x must be 7

5) short-cut way to always measure angles, take your total number of angles, 4 in this case, subtract 2 then multiply by 180. so 360 is the answer. try to practice some of these. what if you had a octagon, 8 sides? 8 - 2 = 6, then 6 times 180 = 1080 degrees

5. The sum of the measures of the angles in a kite is:

the sum of the measures of the angles of a quadrilateral is 360o

One problem at a time.

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