Question

someone answer this question ​

Answer 1

Answer:

very easy and tricky question

on the line L1 the angle is 50°+75° =125°

and on L2 the angle is 125°

so as we can se that angles are as corresponding angles

and we know that corresponding angles are equal when lines are parallel

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Answer 2

Answer:

• Yes, two lines are parallel.

Diagram:-

• Refer to the attachment

Step-by-step explanation:

We know, if a transversal intersects two lines, making a pair of equal corresponding angles, then the lines are parallel.

Therefore, let's assume that the two lines are parallel,

and so,

$\sf \angle \: ABC = 50 \circ$

BC is a straight line, therefore, it is of 180°

$\angle \: BCA \: + \angle \: ACl = 180$

$\angle \: BCA \: + 125 = 180$

$\angle \: BCA \: = 180 - 125 = 55$

Now, let's see if the triangle ABC contains sum of angles of 180

$\angle \: ABC + \angle BCA + \angle \: BAC \:$

$\implies \: 50 + 55 + 75 = 180$

Therefore, the two lines are parallel.

More properties :-

• If a transversal insects two lines in such a way that a pair of alternative interior angles are equal, then the two lines are parallel.
• If a transversal intersects two parallel lines, then each pair of consecutive interior angles are supplementary.