Question

pls help me by answering

Answer 1

$\large{\underline{\pmb{\sf{Required\; Solution...}}}}$

It is given that, ∠1 is equal to 60° and ∠6 is equal to 120° and we need to show that m and n are parallel to each other.

We know that, Vertically opposite angles are equal. Thus, ∠1 = ∠3 & ∠6 = ∠8.

Understanding the question: ∠1 is equal to 60° and ∠6 is equal to 120°, By finding the unknown angles, We will show that m is parallel to n.

Now, Let's try finding unknown angles,

We know that, ∠5, 6, 7, and 8 = 360°. As, Angle 6 and angle 8 are 120°, There sum will be 240°. Now, ∠5 + ∠7 + 240° = 360°. Therefore, Angle 5 and angle 7 will be 60°.

In the same way, ∠1, 2, 3, and 4 = 360°. Thus, Angle 4 and angle 2 are equal to 120°.

All the angles are corresponding to each other. Therefore, m is parallel to n.