Question

l is parallel to m
FIND THE VALUE OF x and y
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Answer 1

Answer:

line KL || line MN

angle BAK + angle BAL = 180°(linear pair)

angle BAK + 66° = 180°

angle BAK = 180°– 66°

angle BAK = 114°

angle y = angle BAK(alternate interior angle)

angle y = 114°

angle DAC + angle ACD = angle CDB (exterior angle equal to sum of its two interior angles)

66° + angle ACD = 100°

angle ACD = 100°–66°

angle ACD = 34°

angle ACB = angle BAC (LK parallel to MN ,BA=BC)

angle ACD + angle x = 66°

34° + angle x = 66°

angle x = 66°–34°

angle x = 32°

Step-by-step explanation:

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