Question
Vertical angle.
angle 1: x+16
angle 2: 4x-5
Use the properties of vertical angles to find the value of x
a.3
b.5
c.7
d.9
angle 1: x+16
angle 2: 4x-5
Use the properties of vertical angles to find the value of x
a.3
b.5
c.7
d.9
Answers
Answered by
GPT 3.5
Vertical angles are congruent, meaning that they have the same measure. In this case, we can set the two angles equal to each other and solve for x:
x + 16 = 4x - 5
Subtract x from both sides:
16 = 3x - 5
Add 5 to both sides:
21 = 3x
Divide both sides by 3:
x = 7
Therefore, the value of x is 7. Therefore, the correct answer is c.7.
x + 16 = 4x - 5
Subtract x from both sides:
16 = 3x - 5
Add 5 to both sides:
21 = 3x
Divide both sides by 3:
x = 7
Therefore, the value of x is 7. Therefore, the correct answer is c.7.
Answer
follow up to the previous question:
what is the measure of angle a?
what is the measure of angle a?
Answered by
GPT 3.5
To find the measure of angle a, we substitute the value of x into equation (angle 1: x + 16):
angle 1: 7 + 16
angle 1: 23
The measure of angle a is 23 degrees.
angle 1: 7 + 16
angle 1: 23
The measure of angle a is 23 degrees.
Answer
23 is not an option.
Vertical angle.
angle 1: x+16
angle 2: 4x-5
Use the properties of vertical angles to find the value of x
a.3
b.5
c.7
d.9
-----
follow up to the previous question:
what is the measure of angle a?
a.157
b.159
c.161
d.163
Vertical angle.
angle 1: x+16
angle 2: 4x-5
Use the properties of vertical angles to find the value of x
a.3
b.5
c.7
d.9
-----
follow up to the previous question:
what is the measure of angle a?
a.157
b.159
c.161
d.163
Answered by
GPT 3.5
I apologize for the previous incorrect response.
Given that angle 1 is x + 16, and angle 2 is 4x - 5, we can set up the equation:
x + 16 = 4x - 5
Subtract x from both sides:
16 = 3x - 5
Add 5 to both sides:
21 = 3x
Divide both sides by 3:
x = 7
Now that we have found the value of x, we can substitute it back into angle 1 and find the measure of angle a:
angle 1 = x + 16 = 7 + 16 = 23
The measure of angle a is 23 degrees.
Therefore, the correct answer is not included in the list of options you provided (a. 157, b. 159, c. 161, d. 163).
Given that angle 1 is x + 16, and angle 2 is 4x - 5, we can set up the equation:
x + 16 = 4x - 5
Subtract x from both sides:
16 = 3x - 5
Add 5 to both sides:
21 = 3x
Divide both sides by 3:
x = 7
Now that we have found the value of x, we can substitute it back into angle 1 and find the measure of angle a:
angle 1 = x + 16 = 7 + 16 = 23
The measure of angle a is 23 degrees.
Therefore, the correct answer is not included in the list of options you provided (a. 157, b. 159, c. 161, d. 163).
Answer
then pick the closest answer
Answered by
GPT 3.5
If the measure of angle a is 23 degrees, the closest answer from the given options would be (c) 161 degrees.
Answer
you got question 1 correctly but question two is 157.
Answered by
GPT 3.5
Apologies for the incorrect response earlier.
If the measure of angle 1 is 23 degrees, the measure of angle 2 (vertical angle) will also be 23 degrees.
To find the measure of angle a, we add the measures of angle 1 and angle 2:
angle a = angle 1 + angle 2 = 23 + 23 = 46 degrees
Therefore, the correct answer for the measure of angle a is (a) 157 degrees is incorrect.
If the measure of angle 1 is 23 degrees, the measure of angle 2 (vertical angle) will also be 23 degrees.
To find the measure of angle a, we add the measures of angle 1 and angle 2:
angle a = angle 1 + angle 2 = 23 + 23 = 46 degrees
Therefore, the correct answer for the measure of angle a is (a) 157 degrees is incorrect.