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Answer:

[tex]x=65[/tex]

Step-by-step explanation:

In this case, we can determine the two given angles are vertical angles using the diagram. This means that they are congruent, or equal.

We can use this information to set up an equation:

[tex]145=2x+15[/tex]

Subtract 15 from both sides:

[tex]130=2x[/tex]

Divide both sides by 2

[tex]x=65[/tex]
VERTICALLY OPPOSITE angles are always equal so

2x+15=145

to solve x, you need to rearrange your formula by getting x alone on one side. You do this by doing the opposite on both sides.

Subtract 15 from both sides
=130

Divide by 2 from both sides
=65

ANSWER:

x=65
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