Question

One angle measures 120°, and another angle measures (4k + 52)°. If the angles are vertical angles, determine the value of k.

Answer 1

Answer: 17

Explanation:

Step 1.) Vertical angles are opposite angles. That would mean that 120=4k+52

Step 2.) Now that you have the equation, 120=4k+52, you must isolate k.

Step 3.) First subtract 52 from both sides. 120-52=4k-52. That would get you 68=4k.

Step 4.) The final step would be to divide both sides by 4 in order to isolate k. 68/4=4k/4. That would get you 17=k or k=17.

Therefore, the answer is 17 degrees.