Question

1. write an equation then solve for x. (2.c) (aa)

Explanation:

Step1: Use the triangle - angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \((5x - 31)+3x+(x + 4)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \((5x+3x + x)+(-31 + 4)=180\), which is \(9x-27 = 180\).

Step3: Isolate the term with \(x\)

Add \(27\) to both sides of the equation: \(9x-27+27=180 + 27\), so \(9x=207\).

Step4: Solve for \(x\)

Divide both sides by \(9\): \(x=\frac{207}{9}\).

Answer:

\(x = 23\)