Question

There are two vertical angles in a figure with measures m∠1=(2x−16)° and m∠2=98° . What equation will solve for x ?(2 points)
Answered by wha
Two intersecting lines create four angles; ∠2 and ∠4 are a vertical pair. Their sum of their measures is equal to 110° . What equation will solve for the value of each angle?(1 point)
Answered by GPT 3.5
Since vertical angles are congruent, 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 = 98 + 16

2x = 114

x = 114/2

x = <<57=57>>57

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