Question

if a transversal intersect two parallel lines and difference of two interior angles on same side of a transversal is 20°.find angle

Answer 1

sum of the two interior angles kn same side of the tranaversal =180degree
let one angle = x
another angle = 180-x
diffrence =20
x-(180-x)=20
x-180+x=20
2x=200
x=200/2
x=100
therefore
one angle=x=100
another angle =180-x=180-100=80

Answer 2

Answer:

Given that:-

The transversal intersects two parallel lines

Difference of two interior angles on the same side of a transversal is 20°.

To find:-

The angles.

Let one angle be x and the other angle be y

Sum of two interior angles on the same side of a transversal = 180°

⇒ It is given that x - y = 20

•°• x = 20 + y   (1)

We know that:-

x + y = 180°

•°• x = 180° - y      (2)

Using equations (1) and (2)

⇒20° + y = 180° - y

⇒ y + y = 180° - 20°

⇒2y = 160°

⇒ y = 80°

Therefore,

The two angles are 80° and 100°

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Step-by-step explanation: