Answer: DEb = 26°
Step-by-step explanation:
<u>Given information</u>
CEF = 7x + 21
FEB = 10x - 3
<u>Given expression deducted from the definition of the bisector</u>
FEB = CEF
<u>Substitute values into the expression</u>
10x - 3 = 7x + 21
<u>Subtract 7x on both sides</u>
10x - 3 - 7x = 7x + 21 - 7x
3x - 3 = 21
<u>Add 3 on both sides</u>
3x - 3 + 3 = 21 + 3
3x = 24
<u>Divide 3 on both sides</u>
3x / 3 = 24 / 3
x = 8
<u>Find the sum of the angle of CEF and FEB</u>
7x + 21 + 10x - 3
=7 (8) + 21 + 10 (8) - 3
=56 + 21 + 80 - 3
=77 + 80 - 3
=157 - 3
=154
<u>Subtract 154 from the straight angle</u>
DEB = 180 - 154
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6.6 Symmetries of Regular
Polygons
A Solidify Understanding Task
A line that reflects a figure onto itself is called a line of symmetry. A figure that can be carried onto
itself by a rotation is said to have rotational symmetry. A diagonal of a polygon is any line
segment that connects non-consecutive vertices of the polygon.
For each of the following regular polygons, describe the rotations and reflections that carry it onto
itself: (be as specific as possible in your descriptions, such as specifying the angle of rotation)
1. An equilateral triangle
2. A square
3. A regular pentagon
4. A regular hexagon
Answer:
13. 
12. 
11. 
10. 
9. 
8. 
7. 
6. 
5. 
4. 
3.
2. 
1. 
DON'T GET HOOKED
Step-by-step explanation:
13. 
12. ![5[r + 4] = 45 \\ \\ r + 4 = 9 \\ \\ 5 = r](https://tex.z-dn.net/?f=5%5Br%20%2B%204%5D%20%3D%2045%20%5C%5C%20%5C%5C%20r%20%2B%204%20%3D%209%20%5C%5C%20%5C%5C%205%20%3D%20r)
11. 
10. 
9. 
8. 
7. 
6. ![3[a + 5] = 24 \\ \\ a + 5 = 8 \\ \\ 3 = a](https://tex.z-dn.net/?f=3%5Ba%20%2B%205%5D%20%3D%2024%20%5C%5C%20%5C%5C%20a%20%2B%205%20%3D%208%20%5C%5C%20%5C%5C%203%20%3D%20a)
5. 
4. 
3. 
2. 
1. 
D O N ' T G E T H O O K E D
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