Question

One angle measures 170°, and another angle measures (6k 44)°. if the angles are vertical angles, determine the value of k. k = 12 k = 20 k = 21 k = 126

Answer 1

When solving for k in the equation for vertical angles, where one angle is 170° and the other is (6k + 44)°, we find that the value of k is 21.

Step-by-step explanation:

If two angles are vertical angles, they are congruent, which means they have the same measure. Therefore, the measure of the second angle (6k + 44)° must equal 170° since it is a vertical angle with the first. To find the value of k, we set up the equation 6k + 44 = 170 and solve for k.

First, subtract 44 from both sides of the equation:

1. 6k + 44 = 170
2. 6k = 170 - 44
3. 6k = 126

Next, divide both sides of the equation by 6 to solve for k:

1. 6k / 6 = 126 / 6
2. k = 21

Therefore, the value of k is 21.

Answer 2

Answer: the answer is 21

Step-by-step explanation:

If one angle measures 170°, and another angle measures (6k + 44)° and both are vertical angles that means the second angle should be the same as the first angle.

Vertical angles are congruent meaning they have an equal measure.

Now we have to find k

(6k + 44) = 170

subtract 44 - 44 and 170 - 44

(6k) = 126

divide 6 by 6, that leaves with just k on the left.

126 divided by 6 equals to 21

k = 21

Hope this helps!