Question

The lines p and q intersect at point O.
what is the balue of x?
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Answer 1

See below.

Explanation:

We are asked to find the value of x.

We should know that the 2 angles given are Vertical Angles.

What are Vertical Angles?

Vertical Angles are angles that are opposite of each other. These angles are equal to each other if 2 or more lines are straight.

Let's set the angles equal to each other.

`3x-3=2x+13`

Simplify:

`x=16`

The value of x is 16.

Answer 2

those are opposite angles therefore they are equal

3x - 3 = 2x + 13

solve for x

x = 16