Question

☆Here is a question for you all
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•In the figure 2.19 , if Angle a is ≅ to Angle b then prove that line L || line m.
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《lmage of the figure is given in the image...
《hope you do understand this.

✅ Answer clearly step by step
❌ No irrelevant answers accepted...



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Answer 1

Answer:

$\mathtt \green{hola}$

Suppose the line n intersect line l at K and line m at L. Since, ∠a ≅ ∠b, then m∠a = m∠b. It is known that, if a pair of alternate interior angles formed by a transversal of two lines is congruent, then the two lines are parallel. ∴ AB || CD or line l || line m.

Answer 2

${\huge{\sf{\red{\underline{\underline{ ǫᴜᴇsᴛɪᴏɴ}}}}}}$

In the figure 2.19 , if Angle a is ≅ to Angle b then prove that line L || line m.

$\huge\underline\bold\blue{AnswEr✓}$

∠ a≅ ∠ b (given)

∠ b≅ ∠ c (vertically opposite angle)

∠ a ≅ ∠ c (if whenever an element A is related to an element B and B is related to an element C then A is also related to c that is called transitivity)

But they form a pair of corresponding angle that are congruent.

∴ line L ∥ line M (hence proved).

thanks ❤