Given m, is parallel to, nm∥n, find the value of x.
m
n
t
167°
x°
To find the value of x, we need to use the properties of parallel lines and transversals.
Since m is parallel to nm, the angle opposite x° is also x°. This is because corresponding angles on parallel lines are equal.
Also, the angle formed by t and x° is supplementary to the angle formed by t and 167°. This is because the two angles form a linear pair due to the transversal. Therefore, x + 167 = 180.
Solving for x:
x + 167 = 180
x = 180 - 167
x = 13°
Therefore, the value of x is 13°.