Question

Darnelle drew this figure and the accompanying equations.

Answer 1

Answer:

Option D. w + x = z

Step-by-step explanation:

see the attached figure to better understand the problem

we have

$w+x+y=180$ ----> equation A

$y+z=180$ ----> equation B

equate equation A and equation B

$w+x+y=y+z$

Subtract y both sides

$w+x=z$

This equation satisfy the Triangle Exterior Angle Theorem (An exterior angle of a triangle is equal to the sum of the opposite interior angles)