Question

Line m is intersected by line n. What is the value of x?

Answer 1

The line n intersects line m and at the point of intersection two angles are formed, which are 3x and x.

Please note that angles on a straight line equals 180 degrees. That means angle 3x and angle x both sum up to 180. This can be expressed as;

3x + x = 180

4x = 180

Divide both sides of the equation by 4 (to eliminate the 4 on the left hand side and isolate the x)

x = 45