Vertical angles are equal, which means the measures of the two angles are equal to each other. Thus, you can set up the equation based on the given measures:
\( m<1 = m<2 \)
Substituting the given expressions:
\( 2x - 16 = 98 \)
To put it in the form "__x - __ = __", we rearrange it:
\( 2x - 16 - 98 = 0 \)
So, simplifying it gives:
\( 2x - 114 = 0 \)
Now, matching it to the requested format, we have:
- __x = 114/2
- __ = 16
- __ = 98
Therefore, the equation that will solve for \( x \) is:
2x - 114 = 0 or x - 57 = 0 if you simplify further.
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