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

1 answer

Since vertical angles are congruent, we have:

m∠1 = m∠2
(2x - 16)° = 98°

Now, we can solve for x by isolating it:

2x - 16 = 98
2x = 98 + 16
2x = 114
x = 114/2
x = 57

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