nicolelech2004
Answered

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please help me out!! 20 points :))

Please Help Me Out 20 Points class=

Sagot :

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Answer:

x =18 , z =77

Step-by-step explanation:

Vertically Opposite Angles,

[tex]8x - 41 = 7x - 23 \\ 8x - 7x - 41 = - 23 \\ x - 41 = - 23 \\ x = - 23 + 41 \\ x = 18[/tex]

Since angle x and angle 7x-23 lies on the same straight line,

[tex]z + 7x - 23 = 180[/tex]

Substitute x = 18 into the equation,

[tex]z + 7(18) - 23 = 180 \\ z + 126 - 23 = 180 \\ z = 180 - 126 + 23 \\ z = 77[/tex]

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