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
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The answers are 100 and 80
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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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