MathCastle
GeometryMediumAngles

Angles · Medium problem

O(x²-72)°(6x)°

Two lines intersect at OO. One of the four angles measures (x2−72)∘(x^2 - 72)^\circ, and the angle vertical to it measures (6x)∘(6x)^\circ. Find xx (reject any value that gives a negative measure), the common measure of those vertical angles, and the measure of a neighboring angle.