Question

answer attempt 1 out of 2

Explanation:

Step1: Use triangle angle - sum property

The sum of angles in a triangle is \(180^{\circ}\). So, \((6x + 13)+78 + 41=180\).

Step2: Simplify the left - hand side

First, add the constant terms: \(6x+13 + 78+41=6x+(13 + 78+41)=6x + 132\). The equation becomes \(6x+132 = 180\).

Step3: Solve for \(x\)

Subtract 132 from both sides: \(6x=180 - 132\). So, \(6x = 48\). Then divide both sides by 6: \(x=\frac{48}{6}\).

Answer:

\(x = 8\)