Vertical angle.

Question

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

Answer 1

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.

Answer 2

follow up to the previous question:
what is the measure of angle a?

Answer 3

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.

Answer 4

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

Answer 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).

Answer 6

then pick the closest answer

Answer 7

If the measure of angle a is 23 degrees, the closest answer from the given options would be (c) 161 degrees.

Answer 8

you got question 1 correctly but question two is 157.

Answer 9

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.