Question

1. solve for the value of x in the diagram below. enter each line of work as an equation.

Explanation:

Step1: Sum of angles in a triangle

The sum of angles in a triangle is \(180^{\circ}\). So, \(x + x+76 = 180\).

Step2: Combine like terms

Combine \(x\) terms: \(2x+76 = 180\).

Step3: Subtract 76 from both sides

\(2x+76 - 76=180 - 76\), which simplifies to \(2x = 104\).

Step4: Divide both sides by 2

\(\frac{2x}{2}=\frac{104}{2}\), so \(x = 52\).

Answer:

\(x = 52\)