Respuesta :

(7x-1)+(3x-9)=180
10x-10=180
Add 10 to both sides
10x=170
Divide both sides by 10
X=17 degrees

3x-9
3(17)-9
51-9
=48

Answer:

Therefore, [tex] \angle ABC = 48\degree[/tex]

Step-by-step explanation:

We need to find the [tex] \angle ABC[/tex]

Since, [tex] \angle DBC = 180\degree[/tex]      ( since DBC is straight line )

[tex](7x-1)+(3x-9)=180\degree[/tex]

[tex]10x-10=180 \degree[/tex]

Add both the sides by 10 in above expression

[tex]10x-10+10=180\degree+10[/tex]

[tex]10x=180 \degree+10[/tex]

[tex]10x=190 \degree[/tex]

divide both the sides by 10 in above expression

[tex]x=\frac{190}{10}[/tex]

[tex]x=19 [/tex]

Hence, the value of x is 19.

Now, we will calculate [tex] \angle ABC[/tex]

[tex] \angle ABC = 3x-9[/tex]

Put x = 19 in above

[tex] \angle ABC = 3(19)-9[/tex]

[tex] \angle ABC = 57-9[/tex]

[tex] \angle ABC = 48[/tex]

Therefore, [tex] \angle ABC = 48[/tex].

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