28. CONGRUENT ANGLES In the photograph below, MLAED = 34° and MZEAD = 112'. Identify the congruent angles in the diagram. Then find m2 BDC and MLADB. ANGLE BISECTORS Given that WZ bisects ZXWY, find the two angle measures not given in the diagram. 2 29. 30. 31. 71 52 32. ERROR ANALYSIS KM bisects ZJKL and M2JKM = 30°. Describe and correct the error made in stating that M2JKL = 15°. Draw a sketch to support your answer. FINDING ANGLE MEASURES Find the indicated angle measure. 33. а 34. В 35. с 36. d 142 53 37. e 38. f

Elementary Geometry For College Students, 7e
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Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Can you help me with numbers 28-38 please

28. CONGRUENT ANGLES In the photograph below, MLAED = 34° and
EXAMPLE 4
MZEAD = 112°. Identify the congruent angles in the diagram. Then find
MZBDC and MZADB.
for Ex. 28
ANGLE BISECTORS Given that WŻ bisects ZXWY, find the two angle
measures not given in the diagram.
EXAMPLE 5
for Exs. 29-32
29.
30.
31.
W
71
52
68
32. ERROR ANALYSıS KM bisects ZJKL and m2JKM = 30°. Describe and
correct the error made in stating that MZJKL = 15°. Draw a sketch to
support your answer.
FINDING ANGLE MEASURES Find the indicated angle measure.
33. а°
34. b
35. с
36. d°
142
53
37. е
38. f
b
39. ERROR ANALYSIS A student states that AD can bisect ZAGC. Describe
and correct the student's error. Draw a sketch to support your answer.
O ALGEBRA In each diagram, BD bisects ZABC. Find MZABC.
40.
41.
B
42.
+ 17
4x
(4x – 2) (3x + 18)
C
D/x- 33)
(2x + 20)
13. * SHORT RESPONSE You are measuring Z PQR with a protractor. When
you line up QR with the 20° mark, QP lines up with the 80° mark. Then
you move the protractor so that QR lines up with the 15° mark. What
mark does QP line up with? Explain.
O ALGEBRA Plot the points in a coordinate plane and draw ZABC.
Classify the angle. Then give the coordinates of a point that lies in the
interior of the angle.
4. A(3, 3), В(0, 0), С3, 0)
45. A(-5,4), В(, 4), C(-2, -2)
46. А(-5, 2), B(-2, -2), С(4, -3)
47. A(-3, -1), B(2, 1), С(6, —2)
30
= See WORKED-OUT SOLUTIONS in Student Resources
= STANDARDIZED TEST PRACTICE
Transcribed Image Text:28. CONGRUENT ANGLES In the photograph below, MLAED = 34° and EXAMPLE 4 MZEAD = 112°. Identify the congruent angles in the diagram. Then find MZBDC and MZADB. for Ex. 28 ANGLE BISECTORS Given that WŻ bisects ZXWY, find the two angle measures not given in the diagram. EXAMPLE 5 for Exs. 29-32 29. 30. 31. W 71 52 68 32. ERROR ANALYSıS KM bisects ZJKL and m2JKM = 30°. Describe and correct the error made in stating that MZJKL = 15°. Draw a sketch to support your answer. FINDING ANGLE MEASURES Find the indicated angle measure. 33. а° 34. b 35. с 36. d° 142 53 37. е 38. f b 39. ERROR ANALYSIS A student states that AD can bisect ZAGC. Describe and correct the student's error. Draw a sketch to support your answer. O ALGEBRA In each diagram, BD bisects ZABC. Find MZABC. 40. 41. B 42. + 17 4x (4x – 2) (3x + 18) C D/x- 33) (2x + 20) 13. * SHORT RESPONSE You are measuring Z PQR with a protractor. When you line up QR with the 20° mark, QP lines up with the 80° mark. Then you move the protractor so that QR lines up with the 15° mark. What mark does QP line up with? Explain. O ALGEBRA Plot the points in a coordinate plane and draw ZABC. Classify the angle. Then give the coordinates of a point that lies in the interior of the angle. 4. A(3, 3), В(0, 0), С3, 0) 45. A(-5,4), В(, 4), C(-2, -2) 46. А(-5, 2), B(-2, -2), С(4, -3) 47. A(-3, -1), B(2, 1), С(6, —2) 30 = See WORKED-OUT SOLUTIONS in Student Resources = STANDARDIZED TEST PRACTICE
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