Question

Solve for the value of v.

Answer 1

Answer:

9

Step-by-step explanation:

Since it is a straight line, therefore it will always be 180°

So...

(8v +3) +105 = 180

8v + 3 + 105 = 180

8v = 180 - 108

V = 72/8

= 9

Answer 2

Answer:

$\boxed {\boxed {\sf v=9}}$

Step-by-step explanation:

In the diagram, there are 2 angles: 105° and (8v+3)°. They are on a straight line together, so they are supplementary angles. They must add to 180 degrees. We can set up an equation.

$105 + (8v+3) = 180$

We are solving for v, so we must isolate the variable. First, we can rearrange the right side and combine the like terms (the constants without a variable).

$105 +8v+3= 180 \\8v + (105+3) = 180 \\8v + 108= 180$

108 is being added to 8v. The inverse operation of addition is subtraction. Subtract 108 from both sides of the equation.

$8v+108-108= 180-108 \\8v= 180-108 \\8v=72$

v is being multiplied by 8. The inverse operation of multiplication is division. Divide both sides by 8.

$\frac {8v}{8}= \frac{72}{8}$

$v= \frac{72}{8}$

$v=9$

v is equal to 9.