Question
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)
x°−
°=
°
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)
x°−
°=
°
Answers
GPT 3.5
The equation that will solve for x is given by the vertical angles theorem, which states that vertical angles are congruent. Therefore, we have:
m∠1 = m∠2
(2x - 16)° = 98°
Simplifying the equation:
2x - 16 = 98
Adding 16 to both sides:
2x = 114
Dividing by 2:
x = 57
Therefore, the equation that solves for x is x = 57°
m∠1 = m∠2
(2x - 16)° = 98°
Simplifying the equation:
2x - 16 = 98
Adding 16 to both sides:
2x = 114
Dividing by 2:
x = 57
Therefore, the equation that solves for x is x = 57°