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)
wrong
Apologies for the mistake. Since vertical angles are congruent, we can set the measures of the two angles equal to each other:
(2x - 16)° = 98°
To solve for x, we need to isolate it. Adding 16 to both sides:
2x = 114
Dividing both sides by 2:
x = 57
Therefore, the equation that solves for x is: (2x - 16)° = 98°.
yes thats correct
Thank you for confirming. If you have any more questions, feel free to ask.
The sum of the measures of two vertical angles is always equal. So we have:
m∠1 + m∠2 = 180°
Substituting the given values, we get:
(2x - 16) + 98 = 180
Simplifying the equation:
2x + 82 = 180
To solve for x, we subtract 82 from both sides of the equation:
2x = 98
Dividing by 2:
x = 49
Therefore, the equation that will solve for x is: 2x + 82 = 180.
There is a pair of vertical angles whose measures are m∠1=106° and m∠2=(3x−75)° . What equation can you write to solve for x ?(1 point
Since vertical angles are congruent, we can set the measures of the two angles equal to each other:
m∠1 = m∠2
106° = (3x - 75)°
To solve for x, we need to isolate it. Adding 75 to both sides:
106° + 75° = 3x°
181° = 3x°
Dividing both sides by 3:
60.33° ≈ x°
Therefore, the equation that can be written to solve for x is: 106° = (3x - 75)°.
Two intersecting lines create four angles; ∠1 and ∠3 are a vertical pair. Their sum of their measures is equal to 68° . What equation solves for the value of each angle?(1 point)
Let's start by setting up the equation using the given information:
∠1 + ∠3 = 68°
Since ∠1 and ∠3 are vertical angles, they are congruent. We can rewrite the equation as:
∠1 + ∠1 = 68°
Simplifying the equation:
2∠1 = 68°
To solve for ∠1, we divide both sides of the equation by 2:
∠1 = 34°
Since ∠1 and ∠3 are congruent, ∠3 is also 34°.
Therefore, the equation that solves for the value of each angle is: ∠1 = ∠3 = 34°.
Two intersecting lines create four angles; ∠1 and ∠3 are a vertical pair. Their sum of their measures is equal to 68° . What equation solves for the value of each angle?(1 point)
Responses
2x°+68°=180° 2 x plus 68 degrees equals 180 degrees
x°=68°
x equals 68 degrees
2x°=68°
2 x equals 68 degrees
68x°=2°