Respuesta :

Answer:

x=7

Step-by-step explanation:

(8x+6)=m∠4

m∠4 + 118 = 180

(8x + 6) +118 = 180

(8x + 6) + 118 - 118 = 180 - 118

8x + 6 = 62

8x = 56

x = 7

Hope this helps!!!

The steps to find value of x

[tex]8x+6=62\\8x=62-6\\8x=56\\Divide \; by \; 8\\x=7[/tex]

Explanation :

From the given diagram . angle 4  and 8x +6 are alternate interior angles

So they are equal

[tex]8x+6= m<4[/tex]

Now we find out m<4

118 and ,4 are linear pair . they are supplementary

[tex]118+m<4=180\\m<4=180-118\\m<4=62[/tex]

Replace angle 4 in first second step

[tex]8x+6=62\\8x=62-6\\8x=56\\Divide \; by \; 8\\x=7[/tex]

The value of x is 7

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