Question

in the diagram below, lines n and * 2 points m are cut by transversals p and q what value of x would make lines n and m parallel? 110 80 70 50

Explanation:

Step1: Find the third angle

The angle adjacent to 80° on line n is $180^\circ - 80^\circ = 100^\circ$.

Step2: Sum of triangle angles

For n || m, the triangle formed by transversals has angles 30°, 100°, and x. So $x = 180^\circ - 30^\circ - 100^\circ = 50^\circ$.

Answer:

50