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Answers
Answer:
1) 70 degrees
2) 55, 125, 125
Step-by-step explanation:
{pls refer to attachment}
1) The figure is a transversal, as l and m are parallel
Alternate interior angles are always equal.
Therefore, angle y is = 110 degree
y + x = 180 degree
110 + x = 180
x= 180-110
x = 70 degree
2) angle x = 55
This is because angle w (55) and x are opposite angles. Opposite angles are always equal.
This tells us that angles y and z are also equal
Angle y and z = a (assuming)
In the following figure, the sum of angles should be 360 degrees, since it is a full circle.
Therefore, w +x+y+z = 360
55 +55+a+a= 360
110 +2a =360
2a = 360 -110
2a = 250
a = 250 / 2
a = 125
Thus angle y = 125
angle z = 125
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