In the figure l and m are parallel and t is transversal. If ∟3 = 75 degree, find the measures of all the other angles
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angle 3=angle 1=75°( vertically opposite angle)
angle 2+angle 1=180°(by straight angle)
angle 2 +75°=180°
angle 2 =180°-75°
angle 2 =105°
angle 2=angle 4=105°( by vertically opposite angle)
angle 1=angle 5=75°(by corresponding angle)
angle 5=angle 7=75°(by vertically opposite angle)
angle 2=angle 6=105°(by corresponding angle)
angle 6=angle 8=105°(by corresponding angle)
so, angle 1=angle 3=angle 5=angle 7=75°
angle 2=angle 4=angle 6=angle 8=105°
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