Question

1. solve for x. (3 pts)

Explanation:

Step1: Use triangle angle - sum property

The sum of interior angles in a triangle is \(180^{\circ}\). So, \(x+(4x)+(5x - 13)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \((x + 4x+5x)-13 = 180\), which gives \(10x-13 = 180\).

Step3: Solve for \(x\)

Add \(13\) to both sides: \(10x=180 + 13\), so \(10x=193\). Then divide both sides by \(10\): \(x=\frac{193}{10}=19.3\).

Answer:

\(x = 19.3\)