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1
Answer:
x+y+80=180
x+y=180-80
x+y=100
x=y=50
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9
Step-by-step explanation:
Angle F = 110° (Vertically opposite angles)
110°+Angle 1+ 40°+90°= 360° (Angle sum property of a quadrilateral)
Angle 1+ 240°= 360
Angle 1= 360-240
Angle 1= 110°
Angle 1+ Angle y= 180° (Linear Pair)
Angle y+ 110= 180
y = 180-110
y = 70°
Angle 2 + 110°= 180° (Linear Pair)
Angle 2= 180-110
Angle 2= 70°
Angle 2+ Angle x+ Angle y= 180° (Angle sum property of triangle)
70+ 70+ x= 180
140+x= 180
x= 180-140
x= 40°
Therefore, The value of x is 40° and y is 70°.
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