Question

in the given figure find the value of unknown angle if m||n.​

Answer 1

Answer:

Step-by-step explanation:

Angle 1 = 105 degree

Angle 2 = [ 180 - ∠ 1 ] ( Linear Pair )

              = [ 180 - 105 ]

              = 75 degree

Angle 3 = [ 180 - ∠ 3 ] ( Linear Pair )

             = [ 180 - 105 ]

             = 75 degree

Angle 4 = ∠ 1 ( Opposite Angle )

             = 105 degree

Angle 5 = [ 180 - ∠3 ] ( Alternative Interior Angles )

             = [ 180 - 75 ]

             = 105 degree

Angle 6 = [ 180 - ∠ 5 ] ( Linear Pair )

              = [ 180 - 105 ]

              = 75 degree

Angle 7 = = [ 180 - ∠ 5 ] ( Linear Pair )

             = [ 180 - 105 ]

             = 75 degree

Angle 8 = ∠ 5 ( Opposite Angle )

             = 105 degree

∴ Angle  1 = 105 degree

  Angle 2 = 75 degree

  Angle 3 = 75 degree

  Angle 4 = 105 degree

  Angle 5 = 105 degree

  Angle 6 = 75 degree

  Angle 7 = 75 degree

  Angle 8 = 105 degree

Answer 2

Answer:

If

p∥

q

then

125

∘

+ ∠e= 180

∘

∠e=

55

∘

∠f=55

∘

(vrtically opposite angles)

∠a= ∠e

(pparallel toq)

∠a= 55

∘

∠d= 125

∘

(pparalleltoq)

∠c= ∠f= 55

∘

∠b+ ∠c= 180

∘

∠b= 125

∘