There are two vertical angles in a figure with measures m∠1=(2x−16)° and m∠2=98° . What equation will solve for x
Since vertical angles are congruent, we have the equation:
m∠1 = m∠2
Substituting the given measures of ∠1 and ∠2:
(2x - 16)° = 98°
This equation can be solved to find the value of x.
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
Let's call the measures of ∠2 and ∠4 as x and y, respectively.
According to the given information, we have the equation:
x + y = 110°
This equation can be used to solve for the values of x and y.
m∠1=125° and m∠4=(x+35)°
What equation will solve for x
The equation to solve for x can be found using the fact that the sum of the measures of angles around a point is 360 degrees.
Since ∠1 and ∠4 are adjacent angles, their measures add up to 360 degrees.
Therefore, we have the equation:
125° + (x + 35)° = 360°
Simplifying this equation will allow us to solve for x.
In a geometric figure two intersecting lines create four angles, where ∠1 and ∠3 are a vertical pair. If m∠1=(3x−25)° and m∠3=104° , what is the value of x
Since ∠1 and ∠3 are a vertical pair, they have the same measure. Therefore, we can set up the equation:
m∠1 = m∠3
Substituting the given measures of ∠1 and ∠3:
(3x - 25)° = 104°
Now we can solve this equation to find the value of x.
Adding 25 to both sides:
3x = 129
Dividing both sides by 3:
x = 43
Therefore, the value of x is 43.