Math, asked by Zero5170, 1 year ago

If a transversal intersect two parallel lines and the difference of two interior angles on the same side of a transversal is 20°,find the angles

Answers

Answered by goutamkabir
2
The answers are 100 and 80
Attachments:
Answered by ranajeetendra77
0

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:

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