Question

ve for x.
55°
x + 74
54°

Explanation:

Step1: Use triangle angle sum theorem

The sum of angles in a triangle is \(180^{\circ}\). So, \(55^{\circ}+(x + 74)^{\circ}+54^{\circ}=180^{\circ}\).

Step2: Simplify the equation

Combine like - terms: \(x+55 + 74+54=180\), which is \(x + 183=180\).

Step3: Solve for \(x\)

Subtract \(183\) from both sides: \(x=180 - 183\).

Answer:

\(x=- 3\)