m angle 2 equals 34 degrees. Find m angle 4 and explain how you know.
Two lines intersect in the shape of an x to form four angles. The angle at the top is labeled 1. The angle on the right is labeled 2. The angle at the bottom is labeled 3. The angle on the left is labeled 4.
Drawing not to scale.
Since angle 2 is labeled 34 degrees, we know that angle 4, which is vertical to angle 2, is also equal to 34 degrees. This is because vertical angles are always equal to each other.
To find the measure of angle 4, we can use the fact that the sum of the angles formed by two intersecting lines is 180 degrees.
Since angle 2 is given as 34 degrees, and angle 2 and angle 4 are vertically opposite angles, we can conclude that angle 4 is also 34 degrees. This is because vertically opposite angles are congruent, meaning they have the same measure.
Therefore, the measure of angle 4 is 34 degrees.