Question

find the value of x. (x - 12)° 50°

Explanation:

Step1: Analyze the angle relationship

The two angles \(50^{\circ}\) and \((x - 12)^{\circ}\) are complementary (they add up to \(90^{\circ}\)).
So, \(50+(x - 12)=90\).

Step2: Solve the equation

First, simplify the left - hand side of the equation: \(50+x-12=x + 38\).
The equation becomes \(x + 38=90\).
Subtract 38 from both sides: \(x=90 - 38\).

Answer:

\(x = 52\)