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VashaNatasha [74]
3 years ago
7

Math question.......

Mathematics
2 answers:
MAXImum [283]3 years ago
8 0

Answer:

x=54

Step-by-step explanation:

easy

180 is a triangle

so

exterior+interior=180

so 180-123

57

now add all up to 180

180=57+x+69

x=54

GarryVolchara [31]3 years ago
6 0

9514 1404 393

Answer:

  54

Step-by-step explanation:

The sum of the interior angles marked is the same as the marked exterior angle. Then the unknown is the difference of the known angles:

  x° = 123° -69°

  x° = 54°

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How to find the answers ?
maria [59]

AD || BC and BD is the transversal,

Therefore, angle DBC = angle ADB = 42° [alternate angles]

AD || BC and BD is the transversal,

angle BAD + angle ABD + angle DBC = 180° [co-interior angles]

or, 106°+ angle ABD + 42° = 180°

or, 148° + angle ABD = 180°

or, angle ABD = 180°-148° = 32°

Therefore, angle ABC = (32+42)° = 74°

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angle ABC + angle BCD = 180° [co-interior angles]

or, 72+2x+12 = 180

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Answers: a)48°

b)42°

c)72°

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