Download HW #7—Amazing Amanda and Book Problems

A#_________ Angles of a Regular Polygon
Complete the chart below
Polygon Name
# of
sides
Name:____________________________________ Period:_________
# of Triangles
Sum of Interior
Angles (show work)
Measure of Each
Interior Angle
Measure of Each
Exterior Angle
8
18
2880
Decagon
156
1260
8
10
Find the number of sides of the regular polygon having the given measure for each interior angle.
1.
147 3/11 (one hundred forty seven and three elevenths)
2. 157.5
Sum of Exterior
Angles (show
work)
3. If four angles of a pentagon have measures of 100, 96,
87 and 97 find the measure of the fifth angle.
8. The sum of the measures of the interior angles of a
polygon is between 2100 and 2400. How many sides
does the polygon have?
4. If four angles of a hexagon have measures of 100, 90,
105, 75 and if the other two angles are congruent, find
the measure of each.
9. The measure of each interior angle of a regular
polygon is 36 more than its adjacent exterior angle.
How many sides does the polygon have?
5. If the sum of the measures of two exterior angles of a
triangle is 230, find the measure of the third exterior
angle and its adjacent interior angle.
10.
The measure of each exterior angle of a regular
polygon is 1/3 the measure of its adjacent interior
angle. How many sides does the polygon have?
6. The sum of the measures of two exterior angles of a
quadrilateral is 300, and the other two exterior angles
are congruent. Find the measure of each.
7. One polygon has three more sides than another. How
many more degrees are in the sum of the interior
angle measures of the first polygon?
11.
Octagon PQRSTUVW is regular. If TU and WV
are extended until they intersect, find the measure of
the angle formed.
12. Given a regular pentagon and square to the right,
Find:
m<EAF=_____________
m<AFD=_____________
m<DAF=_____________
13.
b = _____________
14.
e = ______________ f=___________
15. j=__________ k=____________
16. Three regular polygons meet at vertex A. How many
sides does the largest polygon have?
________________
17. Find the measure of each lettered angle:
a=_________
b=_________
c=_________
d=_________
e=_________
f=_________
g=_________
m=_________
p=__________