Question

what is the value of x? provide an answer accurate to the nearest tenth.
(5x - 29)°
50°
130°

Explanation:

Step1: Identify triangle angle relation

The exterior angle (130°) is equal to the sum of the two non - adjacent interior angles. So, \(5x - 29+50 = 130\).

Step2: Simplify the equation

Simplify the left - hand side: \(5x+21 = 130\).

Step3: Solve for x

Subtract 21 from both sides: \(5x=130 - 21=109\). Then divide both sides by 5: \(x=\frac{109}{5}=21.8\).

Answer:

\(x = 21.8\)