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

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

∠1 + ∠3 = 68°
Answer
thats not one of the answers
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°
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
Answered by GPT 3.5
The correct equation to solve for the values of ∠1 and ∠3 is:

2x° + 68° = 180°
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°
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°.
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
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.