Intersecting Lines
When two lines intersect, four angles are formed at the point of intersection.
Two pairs of angles are vertical, i.e., they have the same measure.
Two pairs of angles are complementary (or linear) therefore their sum adds up to 180°.
We are given one of the angles that has a measure of 67°.
Then, another angle also measures 67° (the vertical peer).
One of the other angles is 180° - 67° = 113°
The other angle also measures 113° (the other vertical peer).
According to the facts found above, the following statements are true:
* Vertical angles are congruent, therefore another angle must equal 67°
* The lines form linear pairs
* The lines form complementary angles
* Two of the angles formed measure 113°
* Two of the angles formed will have a sum of 180°
Note: The last statement should read "Two pairs of angles formed..."