Math, asked by 7218675329, 10 months ago

To verify the properties of angle made by a transversal of parallel lines

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Answered by halasadeeq
11

Heyyyyy,

First, if a transversal intersects two lines so that corresponding angles are congruent, then the lines are parallel. Second, if a transversal intersects two lines so that interior angles on the same side of the transversal are supplementary, then the lines are parallel.

Hope it helps

♥️♥️

Answered by TanikaWaddle
16

properties of angle made by a transversal of parallel lines

Step-by-step explanation:

properties of angle made by a transversal of parallel lines

If we draw to parallel lines and then draw a line transversal through them we will get eight different angles.

Corresponding angles are congruent if the two lines are parallel.

Angles that are in the area between the parallel lines like angle H and C above are called interior angles whereas the angles that are on the outside of the two parallel lines like D and G are called exterior angles.

Angles that are on the opposite sides of the transversal are called alternate angles e.g. H and B.

Angles that share the same vertex and have a common ray, like angles G and F or C and B in the figure above are called adjacent angles.

Two angles that are opposite each other as D and B in the figure above are called vertical angles.

here ,

∠A,∠F,∠G,∠D are exterior angles

∠B,∠E,∠H,∠C are interior angles

∠B and∠E, ∠H and ∠C are consecutive interior angles

∠A and∠G,∠F and ∠D are alternate exterior angles

∠E and∠C,∠H and ∠B are alternate interior angles

∠A and∠E,∠C and ∠G, ∠D and∠H,∠F and ∠B are corresponding angles

#Learn more :

Property of three parallel lines and their transversals​

https://brainly.in/question/11402235

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