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

Vertical angles are opposite each other when two lines intersect. Therefore, if ∠1 and ∠2 are vertical angles, they are equal in measure.

Given that m∠1 = (2x-16)° and m∠2 = 98°, we can set up the following equation:

(2x-16)° = 98°

Simplifying the equation:

2x-16 = 98

Adding 16 to both sides:

2x = 114

Dividing both sides by 2:

x = 57

Therefore, the equation that will solve for x is 2x-16 = 98.