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yanalaym [24]
3 years ago
11

What is the value of x?

Mathematics
2 answers:
Alexxandr [17]3 years ago
6 0

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

nignag [31]3 years ago
6 0

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

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 <u>your answer will be 50=x</u>

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