Question

In the figure, l parallel m and transversal t intersects at A and B ∠1:∠2=11:7. Determine all the eight angle​

Answer 1

Answer:

let the required angle be x.

Then,

angle1=11x and angle2=7x.

Since, angle1 + angle2= 180 degree. [ linear pair]

=> 11x+7x=180 degree

=> 18x=180 degree

=> x=10 degree

Therefore, angle 1= 11x

=11×10 degree

=110 degree

And, angle 2= 7x

=7×10 degree

= 70 degree

Since,

angle 1= angle 4 = 110 degree [ V.O.A]

angle 2= angle 3 = 70 degree

angle 3= angle 8= 70 degree [ Alt. int.angle]

angle 8= angle 6= 70 degree [ V.O.A]

angle 4= angle 5= 110 degree [Alt.int.angles]

angle 5= angle 7= 110 degree [V.O.A]

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Answer 2

Answer:

Let the required angle be x.

Then,

angle1=11x and angle2=7x

angle1+ angle2=180 degree (Linear Pair)

=11x+7x=180 degree

=18x=180 degree

=x=10 degree

Therefore,angle1=11x

=11 multiply 10 degree

=110 degree

And,angle2=7x

=7 multiply 10 degree

=70 degree

angle1=angle4=110degree

(Vertical Opposite Angle)

angle2=angle3=70degree

angle3=angle8=70degree

(Alternate Interior Angle)

angle8=angle6=70degree

(Vertical Opposite Angle)

angle4=angle5=110degree

(Alternate Interior Angle)

angle5=angle7=110degree

(Vertical Opposite Angle)

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