Given m, is parallel to, nm∥n, find the value of x.

Question

m
n
t
167°
x

Answer 1

The sum of the interior angles on the same side of the transversal is equal to 180 degrees. Therefore, we know that angle m = 180 - 167 = 13 degrees.

Since m is parallel to n, we have corresponding angles, which means angle n is also 13 degrees.

Since we have a line t intersecting parallel lines m and n, angle x + angle n = 180 degrees.

Therefore, x + 13 = 180
x = 180 - 13
x = 167

Therefore, the value of x is 167 degrees.