Question

Let m || n and l is a transversal
Such that ∠1 : ∠2 = 11 : 7. Determine all the eight angles

Answer 1

given ,
m|| n
l is the transversal
let x be a constant
angle 1=11x
angle 2= 7x

angle 1 +angle 2=180 ( since they are linear pair)
11x +7x=180
18x=180
x=180÷18=10
angle1=11x =11×10=110
angle2=7x=7×10=70
now,
angle 1=angle3 =110(vertically opposite angle)
angle 2=angle 4=70 (vertically opposite angle)
angle 4=angle 8=70 ( corresponding angles)
angle 3=angle 7=110 (corresponding angles)
angle 7=angle 5=110 (vertically opposite angle)
angle8=angle6=70 (vertically opposite angle)

angle 1=110
angle2=70
angle3=110
angle4=70
angle5=110
angle6=70
angle 7=110
angle8=70


HOPE IT HELPS