Zulemapd88idn
Answered

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someone plssss help (15 points) ty

Someone Plssss Help 15 Points Ty class=

Sagot :

Devishri1977idn

Answer:

x = 67

Step-by-step explanation:

2x - 17 + 63 = 180 {Linear pair}

     2x + 46  = 180    

             2x = 180 - 46

             2x = 134

               x = 134/2

              x = 67

LadyStrangeidn

Solution :

[tex]\color{plum}\bold{x \tt \: = 67}[/tex]

Steps to derive the correct solution :

∠63° and ∠(2x-17)° are a linear pair, so their sum will be equal to 180°.

Which means :

[tex] = 63 + 2x - 17 = 180[/tex]

[tex] = 63 + 2x = 180 + 17[/tex]

[tex] = 63 + 2x = 197[/tex]

[tex] = 2x = 197 - 63[/tex]

[tex] = 2x = 134[/tex]

[tex] = x = 67[/tex]

Let us place 67 in the place of x and see if the substitution is equivalent to 180° :

[tex] = 63 + 2 \times 67 - 17 = 180[/tex]

[tex] = 63 + 134 - 17 = 180[/tex]

[tex] = 63 + 117 = 180[/tex]

[tex] = 180 = 180[/tex]

Thus, the value of x we found out is correct.

Therefore, x = 67

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