What are Vertical Angles?

Angle 1 and angle 3 are vertical angles
Angle 2 and angle 4 are also vertical angles
Since angles 1 and 3 are vertical angles, they are congruent and both measure 50°
Since angles 2 and 4 are also vertical angles, they are also congruent and both measure 130°
Angles 1 and 2 are supplementary, so they add up to 180°
Angles 2 and 3 are also supplementary, so they also add up to 180°
So angles 1 and 3 must be equal

1. The vertex is the point where the two sides of an angle meet
2. Angles 1 and 3 both share the vertex of E, but they do not share any sides, so they are vertical angles
3. Angles 2 and 4 also share the vertex of E but do not share any sides, so they are also vertical angles
1. Here our two sets are angles 1 and 3 and angles 2 and 4
1. Vertical angles have the same angle measurement
2. If angle 1 measures 50°, that means angle 3 measures 50° as well
3. If angle 2 measures 130°, that means angle 4 measures 130° as well
1. Angles 1 and 2 combine to form a straight angle, which means they add up to 180°
2. Angles 2 and 3 also combine to form a straight angle, which means they also add up to 180°
3. If we add the measure of angle 2 to either angle 1 or 3 we will get 180°
4. So angles 1 and 3 must be equal

Definition: Vertical angles