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Darnelle drew this figure and the accompanying equations.

w + x + y = 180 y + z = 180Which equation must also be true?
A
w + z = 180
B
y – x = w
C
w + x + z = 180
D
w + x = z

Respuesta :

irspow
180=w+x+y and 180=y+z so

w+x+y=z+y so subtract y from both sides

w+x=z

Answer:

The correct option is D  w + x = z

Step-by-step explanation:

Consider the provided equations.

[tex]y + z = 180[/tex]

Solve the equation for y.

[tex]y= 180-z[/tex]

Now substitute the vlaue of y in [tex]w + x + y = 180[/tex]

[tex]w + x + 180-z = 180[/tex]

Subtract 180 from both sides.

[tex]w + x + 180-180-z = 180-180[/tex]

[tex]w + x -z = 0[/tex]

Add z to both sides.

[tex]w + x -z+z = z[/tex]

[tex]w + x= z[/tex]

Hence, the correct option is D  w + x = z

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