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Determine the values of a, b, and c in the diagram below.

Determine the values of a, b, and c in the diagram below.-example-1
User Tuxuday
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1 Answer

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The values of a, b and c are 18°, 54° and 27° respectively

Angles on parallel lines are formed when a traversal cut through parallel line(s).

These angles can be alternate , opposite or corresponding to each other. In any of this case the angles are equal to each other.

7a + 3a = 180 ( adjascent angles on a straight line)

10a = 180

a = 180/10

a = 18°

b = 3a ( corresponding angles)

b = 3 × 18

b = 54°

b = 2c ( vertical angles)

c = 54/2

c = 27°

Therefore, the values of a, b and c are 18°, 54° and 27° respectively

User Stefano Buliani
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