Question

there are two vertical angles in a figure with measures m<1 = ( 2x - 16 ) and m<2 = 98, Wut equation will solve 4 x?

___x -___ = ___

Answer 1

Given that angles 1 and 2 are vertical angles, they are equal in measure. Therefore, we can set up the equation:

\[
m\angle 1 = m\angle 2
\]

Substituting the given measures:

\[
2x - 16 = 98
\]

To solve for \(x\), you can rearrange the equation.

Start by adding 16 to both sides:

\[
2x - 16 + 16 = 98 + 16
\]

This simplifies to:

\[
2x = 114
\]

Now, divide both sides by 2:

\[
x = 57
\]

The original equation set up can be expressed in the format you requested:

\[
2x - 16 = 98
\]

So, in your format, it can be written as:

___2___ x - ___16___ = ___98___

This matches the structure you provided where the blanks represent coefficients and constants in the equation.