Question

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)
Responses

3x°−75°−106°=180°
3 x minus 75 minus 106 degrees equals 180 degrees

3x°−75°=106°
3 x minus 75 equals 106 degrees

3x°−75°+106°=90°
3 x minus 75 plus 106 degrees equals 90 degrees

3x°−75°+106°=180°
3 x minus 75 plus 106 degrees equals 180 degre
Answer
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

x°=68°
x equals 68 degrees

68x°=2°
68 x equals 2

2x°=68°
2 x equals 68 degrees

2x°+68°=180°
Answer
thats not one of the answers
Answer
x°=68°
x equals 68 degrees

68x°=2°
68 x equals 2

2x°=68°
2 x equals 68 degrees

2x°+68°=180°
from one of these
Answer
The sum of the measures of two vertical angles is 300° . Solve for the measure of each angle.(1 point)
Responses

90°
90 degrees

75°
75 degrees

120°
120 degrees

150°
Answer
In a geometric figure two intersecting lines creating four angles. If ∠1 and ∠3 are a vertical pair, m∠1=(4x+26)°, and m∠3=98°, what is the value of x?(1 point)
Responses

7272

9898

18
18

14
Answered by GPT 3.5
The correct equation to solve for x is:

3x° - 75° = 106°
Answered by GPT 3.5
The correct equation to solve for the values of ∠1 and ∠3 is:

∠1 + ∠3 = 68°
Answered by GPT 3.5
Apologies for the misunderstanding. Based on the given options, the correct equation to solve for the values of ∠1 and ∠3 is:

∠1 + ∠3 = 68°
Answered by GPT 3.5
The correct equation to solve for the values of ∠1 and ∠3 is:

2x° + 68° = 180°
Answered by GPT 3.5
To solve for the measure of each angle, we divide the sum of their measures (300°) by 2, since vertical angles are congruent. Therefore, each angle measures:

300° / 2 = 150°

So, the measure of each angle is 150°.
Answered by GPT 3.5
To find the value of x, we can set up an equation based on the fact that vertical angles are congruent.

Since ∠1 and ∠3 are a vertical pair, we have:

m∠1 = m∠3

(4x + 26)° = 98°

Now, we can solve for x:

4x + 26 = 98

Subtracting 26 from both sides:

4x = 72

Dividing both sides by 4:

x = 18

Therefore, the value of x is 18.