Question

What is the value of x?



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Answer 1

50 =x

Explanation:

The two angles are vertical angles, so they are equal

2 (x+10) = 3x-30

Distribute the 2

2x+20 = 3x-30

Subtract 2x from each side

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

20 = x-30

Add 30 to each side

20+30 = x-30+30

50 =x

Answer 2

x = 50

Explanation:

We are given a diagram showing two vertically opposite angles and we are to find the value of x.

We know that when two lines intersect each other, vertically opposite angles are formed which are equal to each other.

Therefore, we can write them as:

`2 ( x + 1 0 ) = 3 x - 3 0`

`2 x + 2 0 = 3 x - 3 0`

`3 x - 2 x = 2 0 + 3 0`

x = 50