Question
There are two verticle angles in a figure with measures m<1=(2x-16) and m<2=98 what equation will solve for x?
Answers
GPT 3.5
In a figure, vertical angles are always congruent, meaning that they have the same measure.
Here, we have m<1 = (2x - 16) and m<2 = 98. Since they are vertical angles, they are congruent, so we can set up an equation:
m<1 = m<2
(2x - 16) = 98
Now we can solve for x by isolating it on one side of the equation.
Add 16 to both sides:
2x = 114
Divide both sides by 2:
x = 57
Therefore, the equation that will solve for x is 2x - 16 = 98.
Here, we have m<1 = (2x - 16) and m<2 = 98. Since they are vertical angles, they are congruent, so we can set up an equation:
m<1 = m<2
(2x - 16) = 98
Now we can solve for x by isolating it on one side of the equation.
Add 16 to both sides:
2x = 114
Divide both sides by 2:
x = 57
Therefore, the equation that will solve for x is 2x - 16 = 98.