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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 :

calculista

Answer:

Option D. w + x = z

Step-by-step explanation:

see the attached figure to better understand the problem

we have

[tex]w+x+y=180[/tex] ----> equation A

[tex]y+z=180[/tex] ----> equation B

equate equation A and equation B

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

Subtract y both sides

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

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

Ver imagen calculista

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