There are two vertical angles in a figure with measures m∠1=(2x−16)° and m∠2=98° . What equation will solve for x ?
By definition, vertical angles are congruent. This means that the measure of one vertical angle is equal to the measure of the other vertical angle. Thus, we can set up the equation:
m∠1 = m∠2
(2x - 16)° = 98°
Now, we can solve for x by isolating the variable:
2x - 16 = 98
2x = 114
x = 57
Therefore, the equation that will solve for x is 2x - 16 = 98.