Question

What are the angle measurements of 6x + 1° = 3x + 11°

Answer 1

Answer:

$x=3\frac{1}{3}^\°$

Step-by-step explanation:

Given equation:

$6x+1\°=3x+11\°$

To find the angle measure of $x$   

Solution:

In order to find the angle measure $x$ , we will isolate $x$ on left side by carrying out math operations on both sides.

We have:

$6x+1\°=3x+11\°$

Subtracting both sides by $3x$  

$6x-3x+1\°=3x-3x+11\°$

 $3x+1\°=11\°$

Subtracting both sides by 1°.

$3x+1\°-1\°=11\°-1\°$

$3x=10\°$  

Dividing both sides by 3.

$\frac{3x}{3}=\frac{10\°}{3}$

$x=\frac{10}3}^\°$

Converting fraction to mixed number by dividing and writing the quotient as whole number and the remainder as numerator.

∴  $x=3\frac{1}{3}^\°$  (Answer)