In the figure, l is parallel to m, and m( 1) 5 60°. Find
each of the following:
b. m( 6)
l is paralled to m. this is how the numbers are listed
2 1
3 4
6 5
7 8
To find the value of m(6), we need to use the properties of parallel lines and the corresponding angles.
In the given figure, we have two parallel lines, l and m. The numbers represent the angles formed between the lines and the transversal.
To find m(6), we need to identify the angle that corresponds to angle 6.
In this case, angle 6 is found on the same side of the transversal as angle 5 and is congruent to it. This is because angle 5 is the corresponding angle to angle 6, as they are in the same position relative to their respective parallel lines.
Since we are given that m(1) = 60°, we can conclude that m(5) = 60°.
Therefore, m(6) = m(5) = 60°.