Answer:
[tex]x=29[/tex]
Step-by-step explanation:
Given:
For Δ ABC
m∠A=[tex](3x+8)[/tex]°
m∠B=[tex](2x+7)[/tex]°
m∠C=[tex](x-9)[/tex]°
To find value of [tex]x[/tex].
Solution:
For all triangles the sum of all 3 angles = 180°
Thus, we have:
[tex]m\angle A+m\angle B+m\angle C=180\°[/tex]
Plugging the values in degrees.
[tex]3x+8+2x+7+x-9=180[/tex]
Combining like terms.
[tex]3x+2x+x+8+7-9=180[/tex]
[tex]6x+6=180[/tex]
Subtracting both sides by 6.
[tex]6x+6-6=180-6[/tex]
[tex]6x=174[/tex]
Dividing both sides by 6.
[tex]\frac{6x}{6}=\frac{174}{6}[/tex]
∴ [tex]x=29[/tex] (Answer)
