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Find the value of the unknown x in the following diagrams?
(i) y + 120° = 180° (Linear pair)
y = 180° − 120º = 60º
x + y + 50° = 180° (Angle sum property)
x + 60° + 50° = 180°
x + 110° = 180°
x = 180° − 110° = 70°
(ii) y = 80° (Vertically opposite angles)
y + x + 50° = 180° (Angle sum property)
80° + x + 50° = 180°
x + 130º = 180°
x = 180° − 130º = 50°
(iii) y + 50° + 60° = 180° (Angle sum property)
y = 180° − 60° − 50° = 70°
x + y = 180° (Linear pair)
x = 180° − y = 180° − 70° = 110°
(iv) x = 60º (Vertically opposite angles)
30° + x + y = 180°
30° + 60° + y = 180°
y = 180° − 30° − 60° = 90°
(v) y = 90° (Vertically opposite angles)
x + x + y = 180° (Angle sum property)
2x + y = 180°
2x + 90° = 180°
2x = 180° − 90° = 90°
(vi)
y = x (Vertically opposite angles)
a = x (Vertically opposite angles)
b = x (Vertically opposite angles)
a + b + y = 180° (Angle sum property)
x + x + x = 180°
3x = 180°
y = x = 60°
read less1) x=70-->180-(50+60)=70, 2)x=180-(90+30)=60 3)x=180-(110+30)=40
4)2x+50=180 5)3x=180 6)3x+90=180
2x=180-50 x=180/3 3x=180-90
2x=130 x=60 3x=90
x=130/2=65 x=90/3=30
2x=2*30=60
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