Answer:
[tex]x=3\frac{1}{3}^\°[/tex]
Step-by-step explanation:
Given equation:
[tex]6x+1\°=3x+11\°[/tex]
To find the angle measure of [tex]x[/tex]
Solution:
In order to find the angle measure [tex]x[/tex] , we will isolate [tex]x[/tex] on left side by carrying out math operations on both sides.
We have:
[tex]6x+1\°=3x+11\°[/tex]
Subtracting both sides by [tex]3x[/tex]
[tex]6x-3x+1\°=3x-3x+11\°[/tex]
[tex]3x+1\°=11\°[/tex]
Subtracting both sides by 1°.
[tex]3x+1\°-1\°=11\°-1\°[/tex]
[tex]3x=10\°[/tex]
Dividing both sides by 3.
[tex]\frac{3x}{3}=\frac{10\°}{3}[/tex]
[tex]x=\frac{10}3}^\°[/tex]
Converting fraction to mixed number by dividing and writing the quotient as whole number and the remainder as numerator.
∴ [tex]x=3\frac{1}{3}^\°[/tex] (Answer)
