Question

What is the value of x?

Answer 1

These are vertical angles, so they are equal in measurements.

First, simplify [2(x + 10)]

Distribute 2 to all terms within the parenthesis

2(x + 10) = 2x + 20

Next, place both expressions equal to each other

2x + 20 = 3x - 30

Solve for x. Isolate the variable. Subtract 3x and 20 from both sides

2x (-3x) + 20 (-20) = 3x (-3x) - 30 (-20)

2x - 3x = -30 - 20

Simplify

-x = -50

Isolate the x. Divide -1 from both sides

-x/-1 = -50/-1

x = 50

50 is your answer for x

hope this helps

Answer 2

So these two angles are vertical angles, which are two angles across from each other that are formed by two lines intersecting. Vertical Angles are also congruent to each other.

With this information, we can set up the equation as $2(x+10)=3x-30$ . From here we can solve for x.

Firstly, foil 2(x + 10): $2x+20=3x-30$

Next, subtract 2x on both sides of the equation: $20=x-30$

Lastly, add 30 to both sides of the equation and your answer will be $50=x$