Question

Find the values of the unknowns X'and y'in the following diagrams.
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Answer 1

Answer:

(i) y = 60. x= 70

(ii) y = 50. x = 80

(iii) y = 70. x = 110

(iv) x= 60 y= 90

(v) y=90. x = 45

(vi) x= 60

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Answer 2

i) y° + 120° = 180° (Linear pair)

y° = 60°

x + y + 50° = 180° (Sum angle property of Triangle)

x + 60° + 50° = 180°

x = 110°

ii) x = 80° (Vertically opp. Angle)

x + y + 50° = 180° (Sum angle property of triangle)

y + 80° + 50° = 180°

y = 50°

iii) 50° + 60° + y° = 180°

( Sum angle property of triangle)

y = 70°

x + y = 180° ( Linear pair)

x = 110°