m<2=34 find m<4 and explain how you know
To find m<4, we need to use the properties of parallel lines and transversals.
It is given that m<2 = 34, which means that angle 2 measures 34 degrees.
According to the corresponding angle theorem, if two parallel lines are intersected by a transversal line, the corresponding angles are congruent.
Since angle 2 and angle 4 are corresponding angles formed by the transversal line, they are congruent. Therefore, m<4 = 34 degrees.
To find m<4, we need more information or context about the relationship between angle 2 and angle 4.
If angles 2 and 4 are corresponding angles, then they are in the same position relative to a pair of parallel lines. In that case, m<4 would also be equal to 34 degrees.
If angles 2 and 4 are vertical angles, then they are opposite each other when two lines intersect. In this case, since vertical angles are congruent, m<4 would also be 34 degrees.
If angles 2 and 4 are adjacent angles, meaning they share a common vertex and side, we would need more information to determine the measure of m<4.
Without knowing the specific relationship between angle 2 and angle 4, we cannot determine the measure of m<4 accurately.
To find m<4, we need to have more information about the relationship between angle 2 (m<2) and angle 4 (m<4). From the given information, we don't have any direct relationship between these two angles.
However, if we assume that angles 2 and 4 are vertical angles, then they would be congruent (equal). This means that if m<2 = 34, then m<4 would also be 34.
Vertical angles are formed when two lines intersect. The angles opposite to each other (on opposite sides of the intersection) are called vertical angles. Vertical angles are always congruent.
So, if angle 2 (m<2) and angle 4 (m<4) are vertical angles, then m<4 would also be 34.
However, if the given information does not indicate that angle 2 and angle 4 are vertical angles, or if there is no additional information about the relationship between these angles, we cannot determine the measure of m<4 based solely on the given information of m<2 = 34.