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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

Verified Answer :

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.

\(y + z = 180\)

Solve the equation for y.

\(y= 180-z\)

Now substitute the vlaue of y in \(w + x + y = 180\)

\(w + x + 180-z = 180\)

Subtract 180 from both sides.

\(w + x + 180-180-z = 180-180\)

\(w + x -z = 0\)

Add z to both sides.

\(w + x -z+z = z\)

\(w + x= z\)

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

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