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 m(6), we first need to identify the corresponding angles.
In the given figure, l and m are parallel lines, and the numbers are listed in a grid-like pattern. Each pair of numbers on opposite sides of a transversal (\) represents corresponding angles.
Let's label the missing angles with the corresponding letters:
2 1
3 4
6 5
7 8
In this case, we are looking for m(6), which corresponds to angle 6.
To find m(6), we need to find the corresponding angle to angle 6 on the opposite side of line l. In this case, the corresponding angle is angle 5.
To determine the measure of angle 5, we can use the fact that angles on a straight line add up to 180 degrees. The measure of m(1) is given as 60 degrees.
Therefore, m(1) + m(5) = 180 degrees.
60 + m(5) = 180
Solving for m(5):
m(5) = 180 - 60 = 120 degrees
Therefore, m(6) = m(5) = 120 degrees.