please solve question
Answers
Answer -
➩ ∠x + 45 = 140° ( corresponding angles are equal )
➩ x = 140 - 45
➩ x = 95°
➩ x = y ( alternate angles are equal )
➩ y = 95°
Additional information -
Angles made by a transversal with two parallel lines -
Transversal - A line which intersects two or more given parallel lines at distinct point is called transversal.
i) Corresponding angles - Two angles on the same side of transversal are known as the corresponding angles.
If a transversal intersects two parallel lines then the corresponding angles are equal.
ii) Alternate angles - If a transversal intersects two parallel lines then the alternate angles are equal.
iii) Co - interior angles - The pair of angles on the same side of the transversal are called pairs of co-interior angles.
If a transversal intersects two parallel lines then the co-interior angles are supplementary.
angle X = 140°=45°+X ( corresponding angles)
angle X=140-45
=95°
angle X= angle y( alternate interior angle)
95°=95°HOPE IT WILL HELP YOU