Question

There are two vertical angles in a figure with measures m<1 = ( 2x - 16 ) and m<2 = 98. What equation will solve for x?

__x - __ = __

Answer 1

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.