Question

One angle measures 130°, and another angle measures (8k + 58)°. If the angles are vertical angles, determine the value of k.

k = 9
k = 15
k = 72
k = 150

Answer 1

The value of k is 15. This can be determined by using the fact that vertical angles are equal and thus 130° = (8k + 58)°. Solving for the value of k results in k = 15.