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

Answer 1

Vertical angles are congruent, which means that their measures are equal. In your case, the measures of the angles are given as:

\[ m < 1 = 2x - 16 \] \[ m < 2 = 98 \]

Since these angles are vertical angles, we can set their measures equal to each other:

\[ 2x - 16 = 98 \]

Now, to solve for \(x\), follow these steps:

1. Add 16 to both sides of the equation:

\[ 2x = 98 + 16 \] \[ 2x = 114 \]

2. Now, divide both sides by 2:

\[ x = \frac{114}{2} \] \[ x = 57 \]

So, the solution is \(x = 57\).