Basic Mathematics for College Students

29. Refer to the trapezoid shown below.See Example 3.

a. Find. b. Find.

30. Refer to trapezoid shown below.See Example 3.

a. Find. b. Find.

31. Refer to the isosceles trapezoid shown below.
    See Example 4.
    a. Find. b. Find.
    c. Find. d. Find.


32. Refer to the trapezoid shown below.See Example 4.

a. Find.

b. Find.

c. Find.

Find the sum of the angle measures of the polygon.
See Example 5.

33. a 14-sided polygon


34. a 15-sided polygon


35. a 20-sided polygon


36. a 22-sided polygon


37. an octagon


38. a decagon


39. a dodecagon


40. a nonagon

Q

RS

T

47.5°

m(S)

m(R)

m(T)

y

AB

DC

x

z

70 °

22

9

y z

m(BC) x

MN

PO

119.5°

m(O) m(M)

MNOP

x

138 ° y

85 °

x y

Find the number of sides a polygon has if the sum of its angle

measures is the given number.See Example 6.

41. 540° 42. 720°


42. 900° 44. 1,620°


43. 1,980° 46. 1,800°


44. 2,160° 48. 3,600°

TRY IT YOURSELF

49. Refer to rectangle shown below.
    a. Find.
    b. Find.
    c. Find.
    d. If is 8 cm, find.
    e. Find.


50. The following problem appeared on a quiz. Explain
    why the instructor must have made an error when
    typing the problem.
    The sum of the measures of the angles of a
    polygon is 1,000°. How many sides does the polygon
    have?

For Problems 51 and 52, find. Then find the measure of each

angle of the polygon.

51. A
    2 x  10 °
    3 x  30 °

2 x x

B

D C

x

60 °

1

2

3

A

D

B

P

C

m(PD)

m(AC) m(BD)

m(2)

m(3)

m(1)

ABCD

9.6 Quadrilaterals and Other Polygons 775

52. A
    x

x

x

x  50 ° x

x  8 °

x  12 °

B

C

E D

F

G