Review 5.1 - 5.3
PAAnchors: A2;82;Cl
1.
Find the number of sides of a convex polygon if the measures of its interior angles have a sum of
15,8400.
Find the number of sides of a convex polygon if the measures of its interior angles have a sum of
21,240".
3.
Find the sum of the measures of the angles of ahexagon.
4.
Find the sum of the measures of the angles of a octagon.
5. Find the sum of the measures of the interior
angles in the figure.
7.
What is the mea$re of each angle in
8.
What is the measure of each angle in a regular decagon?
i.
9,
'l
.I
j
Determine the measure ofangle8.
10. Determine the measure of angle/.
(*+rf
(s*+2f
1*-tI
(t*zP
a
regularpentagon?
11. All the angle
measures of a convex polygon are given below. Use ttre measures to find
r and fttme
the polygon.
(* -Z)" ,(4*+4) o, (x +a)", (r+4) o,(3*+4) ", (zx -z)" , (4* -2)" , (2x+a)" , (2x +2)"
(2x + 2)", (5, - z)", (t+x +21)"
,
12. All the angle
measures of a convex polygon are given below. Use the measures to find x and name
polygon.
the
(x + 1) ", (4x + t)', (sx + 2)",(2x + t) ", (4*- 4) o, (t x -z)o, (7x + 1)o
13. How many tiangles
are formed by drawing diagonals from one vertex in the polygon? What is the
sum of the measures of the angles in the polygon?
14. How msny tiangles
are fonned by drawing diagonals from one vertex in the polygon? What is the
sum of the measures of the angles in the polygon?
15. A hexagon has exterior
angle measures of 68", 57o,65o,64o, and 61o. What is the measure of the
sixth interior angle?
16. A quadrilateral
has exterior angls measures of 91", 97", and 84". What is the measure of the fourth
interior angle?
17. How many
sides does a regular polygon have
if the measure of
18. How many
sides does a regular polygon have
if
the measurc of each exterior angle is equal to 24o?
19. Find the measure of an interior angle and an exterior
20. Find the measure of an interior
each exterior angle is equal to 40o?
angle of a regular polygon
with l0 sides.
angle and an exterior angle of a regular polygon with 30 sides.
2L. Find the measure of an interior
22. Findrand/.
23. Fiudrand.y.
(-/
augle amd m exterior angle of arcgular polygon
with 5 sidx.
-l
I
24. Find fu mea$re of,an interior angle in tre fegular polygoll
25. Find the measure of an interior angle in the regular polygon'
sides?
26. what is the size of each interior angle of a regular polygon with 9
27. What
28. If
polygon with 24 sides?
is the size of each interior angle of a regular
many sides does the z-gon have?
one interior angte of an equiangUlar rr-gon is 135", how
If
one interior englE of an equiangular rr-gon is 170o, how many sides does the n-gon have?
30. If a kite has diagonals with lengths of 10 centimeters
3I
.
If a kite has diagonats with lengths of
and 13 centimeters, what is the area of the kite?
6 centimeters and 12 centimeters, what is the area of the kite?
32. Findtheareaofkite ABCDif BD=48
ce,ntimeten, AD=25 centimeters,and DC =26 centimeters.
B
33. One side of a kite is I centimeter
16 centimeters,
less than 2 times the length of another.
findthe length of each side of the kite.
If the perimeter is
34.
One side of + kite is 4 centiupters less than 3 times tlre,leng,th of another" If{he perimeter is
48 ceutimeters, find the length of each side of tle kite.
35.
Ftu;d m 'iT intho
s
dipgpq if mlL = 140:
Find mZT inthediaeram tf
@ ml$ = 7ff.
nlR=13ff sd q,lS =6f.,
..,
37.
Find the ara oftlre kite.
l2h'
T
oto.
M
srol
38.
Find the area of the kite.
l't rzi
T
sio.
M
39. Find the missing angle measur€s inthe isosceles tapezoid.
A
D
n
Find the missing angle mearluilss in t.b isosc€les tap€soid,
.L,,.
1"
41. In the isosceles tapezoid below,
name two congnrent tiangles that contain the Side
F.
42. In the isosceles hapezoid below, name two congruent hiangles that contain the side
.RS.
R
AB and CD,andbase BE If AB=(Sy+a)inches,
CD =(2y *6) incheq find the value of y.
43. Isosceles tapezoid A B C D haslegs
BC
=(9y+8)
inches, and
,48
6
AC. V 19 = (8y +5) inches,
BC = (ay +7) inches, and CD = (t 0y + 4) inches, find the value of y.
Isosceles 1rrapezrlid, ABCD has legs
45. Find the missing angle measures inthe
and
, and base
isosceles trapezoid.
46. Find the missing angle
\-_-,
./
47. ZJ
and
lP
arebase angles of isosceles tapezoid
m/.P =(L4,x
48. Zlaad
\_/
measures in the isosceles tzpezoid.
m/.P
JKLP.lf md
=
(l9r+4)"
and
+7)', find the value ofx.
ZParc
base angles of isosceles
=(ttx+I0)o, find
the value
ofx.
tapezoid JKLP.If mZJ = (14x+9f and