Question

Find x + y in term of w and z if m//n​

Answer 1

Step-by-step explanation:

Since, y and z are alternate interior opposite angles. Therefore, these must be equal.

y = 2 (i)

Also x and w are consecutive interior angles.

Theorem states: If a transversal intersects two parallel lines, then each pair of consecutive interior angles are supplementary.

Therefore,

x +w = 180° (ii)

On adding equation (i) and (iii), we get:

x + y + w = 180°

x + y = 180° + 2-w

Answer 2

Answer:

Let m and n be two transversal cutting them ∠w + ∠x = 180°(Consecutive interior angle) x = 180° – w (i) z = y (Alternate angles)

We get x + y = 180° – w + z