Question

triangles and angles

1. find the value of x.

(19x - 23)°
(4x - 1)°
(2x + 29)°
gina wilson (all things algebra), 2014

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \((4x - 1)+(2x + 29)+(19x - 23)=180\).

Step2: Combine like terms

Combine the \(x\) terms: \(4x + 2x + 19x = 25x\). Combine constants: \(-1 + 29 - 23 = 5\). Equation becomes \(25x + 5 = 180\).

Step3: Solve for \(x\)

Subtract 5: \(25x = 180 - 5 = 175\). Divide by 25: \(x=\frac{175}{25}=7\).

Answer:

\(x = 7\)